----------------------------------------------------------------------------------------------
      name:  <unnamed>
       log:  /Users/qsg999/Desktop/PSRM_replication_material/Appendix_BDE_log.log
  log type:  text
 opened on:  18 Jun 2024, 09:06:06

. 
. use "`path'/Data.dta", clear

. cd "`path'/temp"
/Users/qsg999/Desktop/PSRM_replication_material/temp

. 
. * reversing support var for abortion
. replace support = 2 if support==1 & topic==7
(1,070 real changes made)

. replace support = 1 if support==0 & topic==7
(3,581 real changes made)

. replace support = 0 if support==2 & topic==7
(1,070 real changes made)

. 
. * college dummy
. recode edu3 (1=0) (2/3=1), g(college)
(38,448 differences between edu3 and college)

. 
. 
. 
. ** Tables for Appendix B
. 
. * Table B1: balance testing
. preserve

. duplicates drop respondent_id, force

Duplicates in terms of respondent_id

(33,670 observations deleted)

. 
. recode race (9=1) (2/8=0), g(white)
(4,809 differences between race and white)

. recode race (2=1) (1 3 4 5 6 7 8 9=0), g(asian)
(4,809 differences between race and asian)

. recode race (3=1) (2 4 5 6 7 8 9=0), g(black)
(4,809 differences between race and black)

. recode race (4=1) (2 3 5 6 7 8 9=0), g(latino)
(4,809 differences between race and latino)

. 
. recode pid (2=1) (3 4 5=0), g(democrat)
(4,808 differences between pid and democrat)

. recode pid (3=1) (2 4 5=0), g(independent)
(4,808 differences between pid and independent)

. recode pid (5=1) (2 3 4=0), g(republican)
(4,808 differences between pid and republican)

. 
. ttest age, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,400    44.16167    .3159638      15.479    43.54208    44.78126
       1 |   2,400    44.51625    .3245248     15.8984    43.87987    45.15263
---------+--------------------------------------------------------------------
Combined |   4,800    44.33896     .226458    15.68947      43.895    44.78292
---------+--------------------------------------------------------------------
    diff |           -.3545833    .4529343               -1.242542    .5333756
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.7829
H0: diff = 0                                     Degrees of freedom =     4798

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.2169         Pr(|T| > |t|) = 0.4337          Pr(T > t) = 0.7831

. ttest female, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,382     .506717    .0102459    .5000599    .4866252    .5268089
       1 |   2,381    .5262495    .0102349    .4994154    .5061793    .5463197
---------+--------------------------------------------------------------------
Combined |   4,763    .5164812    .0072417    .4997808    .5022842    .5306782
---------+--------------------------------------------------------------------
    diff |           -.0195324    .0144821               -.0479241    .0088592
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -1.3487
H0: diff = 0                                     Degrees of freedom =     4761

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.0887         Pr(|T| > |t|) = 0.1775          Pr(T > t) = 0.9113

. ttest college, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,402    .5387177    .0101734    .4986025    .5187681    .5586674
       1 |   2,404    .5524126    .0101436    .4973488    .5325215    .5723038
---------+--------------------------------------------------------------------
Combined |   4,806     .545568    .0071831     .497971    .5314859    .5596502
---------+--------------------------------------------------------------------
    diff |           -.0136949    .0143663               -.0418595    .0144697
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.9533
H0: diff = 0                                     Degrees of freedom =     4804

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.1703         Pr(|T| > |t|) = 0.3405          Pr(T > t) = 0.8297

. ttest income, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,359    6.972022     .072207     3.50706    6.830426    7.113618
       1 |   2,336    6.880565    .0719761    3.478763    6.739421    7.021709
---------+--------------------------------------------------------------------
Combined |   4,695    6.926518    .0509768    3.492937    6.826579    7.026456
---------+--------------------------------------------------------------------
    diff |             .091457     .101957               -.1084267    .2913406
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =   0.8970
H0: diff = 0                                     Degrees of freedom =     4693

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.8151         Pr(|T| > |t|) = 0.3698          Pr(T > t) = 0.1849

. ttest white, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,405    .7517672    .0088106    .4320775    .7344901    .7690443
       1 |   2,404    .7537438    .0087888    .4309192    .7365094    .7709781
---------+--------------------------------------------------------------------
Combined |   4,809    .7527553    .0062217    .4314551    .7405579    .7649526
---------+--------------------------------------------------------------------
    diff |           -.0019766    .0124446               -.0263738    .0224206
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.1588
H0: diff = 0                                     Degrees of freedom =     4807

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.4369         Pr(|T| > |t|) = 0.8738          Pr(T > t) = 0.5631

. ttest black, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,405    .1280665    .0068154    .3342334    .1147018    .1414312
       1 |   2,404    .1227121    .0066933    .3281748     .109587    .1358373
---------+--------------------------------------------------------------------
Combined |   4,809    .1253899    .0047759    .3311949    .1160269    .1347529
---------+--------------------------------------------------------------------
    diff |            .0053544    .0095525               -.0133729    .0240817
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =   0.5605
H0: diff = 0                                     Degrees of freedom =     4807

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.7124         Pr(|T| > |t|) = 0.5752          Pr(T > t) = 0.2876

. ttest asian, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,405    .0561331    .0046946    .2302264    .0469272    .0653389
       1 |   2,404    .0578203    .0047614    .2334519    .0484835    .0671571
---------+--------------------------------------------------------------------
Combined |   4,809    .0569765    .0033429    .2318218    .0504228    .0635302
---------+--------------------------------------------------------------------
    diff |           -.0016872    .0066865               -.0147959    .0114214
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.2523
H0: diff = 0                                     Degrees of freedom =     4807

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.4004         Pr(|T| > |t|) = 0.8008          Pr(T > t) = 0.5996

. ttest latino, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,405    .0419958    .0040909    .2006214    .0339738    .0500179
       1 |   2,404    .0374376    .0038725    .1898711    .0298438    .0450314
---------+--------------------------------------------------------------------
Combined |   4,809    .0397172    .0028165    .1953143    .0341956    .0452388
---------+--------------------------------------------------------------------
    diff |            .0045582    .0056332               -.0064853    .0156018
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =   0.8092
H0: diff = 0                                     Degrees of freedom =     4807

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.7908         Pr(|T| > |t|) = 0.4185          Pr(T > t) = 0.2092

. ttest voter, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,401    .8309038    .0076513     .374915    .8158999    .8459077
       1 |   2,404    .8361065    .0075515    .3702559    .8212983    .8509147
---------+--------------------------------------------------------------------
Combined |   4,805    .8335068    .0053747    .3725616      .82297    .8440436
---------+--------------------------------------------------------------------
    diff |           -.0052027    .0107502                -.026278    .0158726
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.4840
H0: diff = 0                                     Degrees of freedom =     4803

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.3142         Pr(|T| > |t|) = 0.6284          Pr(T > t) = 0.6858

. ttest democrat, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,403    .4935497    .0102011    .5000625    .4735458    .5135536
       1 |   2,405    .5072765    .0101966     .500051    .4872814    .5272716
---------+--------------------------------------------------------------------
Combined |   4,808     .500416    .0072116    .5000518    .4862779     .514554
---------+--------------------------------------------------------------------
    diff |           -.0137268    .0144234               -.0420032    .0145497
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.9517
H0: diff = 0                                     Degrees of freedom =     4806

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.1706         Pr(|T| > |t|) = 0.3413          Pr(T > t) = 0.8294

. ttest independent, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,403    .2858926    .0092193    .4519326    .2678141    .3039712
       1 |   2,405    .2565489    .0089073     .436819    .2390822    .2740156
---------+--------------------------------------------------------------------
Combined |   4,808    .2712146    .0064124    .4446329    .2586434    .2837858
---------+--------------------------------------------------------------------
    diff |            .0293438    .0128191                .0042125    .0544751
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =   2.2891
H0: diff = 0                                     Degrees of freedom =     4806

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.9889         Pr(|T| > |t|) = 0.0221          Pr(T > t) = 0.0111

. ttest republican, by(treatment) 

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,403    .1843529    .0079121    .3878524    .1688377    .1998681
       1 |   2,405    .1995842    .0081518    .3997709    .1835989    .2155695
---------+--------------------------------------------------------------------
Combined |   4,808    .1919717    .0056806    .3938919    .1808351    .2031083
---------+--------------------------------------------------------------------
    diff |           -.0152313    .0113603               -.0375026      .00704
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -1.3408
H0: diff = 0                                     Degrees of freedom =     4806

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.0900         Pr(|T| > |t|) = 0.1801          Pr(T > t) = 0.9100

. ttest lib_cons, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,384    2.474832    .0232103     1.13327    2.429318    2.520347
       1 |   2,384    2.479446     .023401    1.142582    2.433558    2.525335
---------+--------------------------------------------------------------------
Combined |   4,768    2.477139     .016478    1.137819    2.444835    2.509444
---------+--------------------------------------------------------------------
    diff |           -.0046141    .0329594               -.0692298    .0600016
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =  -0.1400
H0: diff = 0                                     Degrees of freedom =     4766

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.4443         Pr(|T| > |t|) = 0.8887          Pr(T > t) = 0.5557

. ttest pol_know, by(treatment)

Two-sample t test with equal variances
------------------------------------------------------------------------------
   Group |     Obs        Mean    Std. err.   Std. dev.   [95% conf. interval]
---------+--------------------------------------------------------------------
       0 |   2,405    2.853638    .0280731    1.376726    2.798588    2.908688
       1 |   2,405    2.816632     .028035     1.37486    2.761657    2.871607
---------+--------------------------------------------------------------------
Combined |   4,810    2.835135    .0198369    1.375775    2.796246    2.874025
---------+--------------------------------------------------------------------
    diff |            .0370062    .0396744               -.0407738    .1147863
------------------------------------------------------------------------------
    diff = mean(0) - mean(1)                                      t =   0.9327
H0: diff = 0                                     Degrees of freedom =     4808

    Ha: diff < 0                 Ha: diff != 0                 Ha: diff > 0
 Pr(T < t) = 0.8245         Pr(|T| > |t|) = 0.3510          Pr(T > t) = 0.1755

. restore 

. 
. 
. ** Figures for Appendix E
. 
. 
. * Figure E1
. reg dk i.treatment##i.topic i.round, cluster(respondent_id)

Linear regression                               Number of obs     =     38,480
                                                F(16, 4809)       =          .
                                                Prob > F          =          .
                                                R-squared         =     0.1490
                                                Root MSE          =     .24272

                         (Std. err. adjusted for 4,810 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
             dk | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |    .113517   .0064687    17.55   0.000     .1008354    .1261987
                |
          topic |
             2  |  -9.43e-14          .        .       .            .           .
             3  |   .0004158   .0004158     1.00   0.317    -.0003995    .0012311
             4  |   .0008316    .000588     1.41   0.157    -.0003211    .0019843
             5  |   .0012474     .00072     1.73   0.083    -.0001641    .0026589
             6  |   .0008316    .000588     1.41   0.157    -.0003211    .0019843
             7  |   .0004158   .0004158     1.00   0.317    -.0003995    .0012311
             8  |   .0004158   .0004158     1.00   0.317    -.0003995    .0012311
                |
treatment#topic |
           1 2  |  -.0532225   .0077501    -6.87   0.000    -.0684162   -.0380287
           1 3  |   .2715177   .0111075    24.44   0.000     .2497418    .2932935
           1 4  |   .0819127   .0096164     8.52   0.000     .0630601    .1007652
           1 5  |    .008316   .0091295     0.91   0.362    -.0095821    .0262141
           1 6  |   .0237006   .0091463     2.59   0.010     .0057696    .0416316
           1 7  |  -.0482328   .0077424    -6.23   0.000    -.0634116   -.0330541
           1 8  |  -.0037422   .0086548    -0.43   0.665    -.0207095    .0132251
                |
          round |
             2  |   .0055649   .0040911     1.36   0.174    -.0024555    .0135853
             3  |   -.002897   .0037898    -0.76   0.445    -.0103267    .0045326
                |
          _cons |  -.0006582   .0023487    -0.28   0.779    -.0052628    .0039464
---------------------------------------------------------------------------------

. margins, dydx(treatment) over(topic)

Average marginal effects                                Number of obs = 38,480
Model VCE: Robust

Expression: Linear prediction, predict()
dy/dx wrt:  1.treatment
Over:       topic

------------------------------------------------------------------------------
             |            Delta-method
             |      dy/dx   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
0.treatment  |  (base outcome)
-------------+----------------------------------------------------------------
1.treatment  |
       topic |
          1  |    .113517   .0064687    17.55   0.000     .1008354    .1261987
          2  |   .0602946   .0048573    12.41   0.000     .0507721     .069817
          3  |   .3850347   .0099359    38.75   0.000     .3655558    .4045136
          4  |   .1954297   .0081204    24.07   0.000       .17951    .2113494
          5  |    .121833   .0067404    18.08   0.000     .1086188    .1350473
          6  |   .1372177   .0070587    19.44   0.000     .1233794    .1510559
          7  |   .0652842   .0050706    12.88   0.000     .0553436    .0752248
          8  |   .1097748   .0063999    17.15   0.000     .0972281    .1223216
------------------------------------------------------------------------------
Note: dy/dx for factor levels is the discrete change from the base level.

. 
. marginsplot, xlabel(1 `""Infrastructure" "bill""' 2 `""Minimum" "wage""' 3 "Estate tax" 4 `"
> "Capital gains" "tax""' 5 `""Border" "security""' 6 `""Transgender in" "military""' 7 "Abort
> ion" 8 `""Covid" "vaccines""' , nogrid labsize(medsmall) labcolor(gray)) plotopts(msym(O) ms
> ize(medlarge) mlcolor("black") mfcolor("black")) recast(scatter) recastci(rspike) ci1opt(col
> or(black) lwidth(medthick)) xsize(10) scheme(plotplain) xtitle("") ytitle("Treatment effect"
> , size(medlarge) color("gray")) title("") ylabel(0(.1).4, labsize(medsmall) labcolor(gray)) 
> xscale(r(0.8 8.2))

Variables that uniquely identify margins: topic

. 
. graph export "figureE1.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE1.pdf saved as PDF format

. 
. 
. * Figure E2a: education
. reg dk i.treatment##i.re_edu i.topic i.round, cluster(respondent_id)

Linear regression                               Number of obs     =     38,448
                                                F(18, 4805)       =     133.35
                                                Prob > F          =     0.0000
                                                R-squared         =     0.1180
                                                Root MSE          =     .24717

                                  (Std. err. adjusted for 4,806 clusters in respondent_id)
------------------------------------------------------------------------------------------
                         |               Robust
                      dk | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------------+----------------------------------------------------------------
             1.treatment |   .1921537   .0101309    18.97   0.000     .1722926    .2120149
                         |
                  re_edu |
           Some college  |  -.0001295   .0005677    -0.23   0.820    -.0012425    .0009835
  2-year college degree  |   .0000614   .0006972     0.09   0.930    -.0013055    .0014283
  4-year college degree  |  -.0002823   .0005512    -0.51   0.608    -.0013628    .0007982
    Postgraduate degree  |   .0004442   .0007435     0.60   0.550    -.0010134    .0019018
                         |
        treatment#re_edu |
         1#Some college  |  -.0294187   .0123169    -2.39   0.017    -.0535655   -.0052719
1#2-year college degree  |  -.0461179   .0133404    -3.46   0.001    -.0722712   -.0199646
1#4-year college degree  |  -.0497855   .0113806    -4.37   0.000    -.0720966   -.0274744
  1#Postgraduate degree  |   -.076354   .0122234    -6.25   0.000    -.1003175   -.0523906
                         |
                   topic |
                      2  |  -.0266334   .0038973    -6.83   0.000    -.0342739   -.0189929
                      3  |    .136288   .0058936    23.12   0.000     .1247339     .147842
                      4  |   .0418227   .0048484     8.63   0.000     .0323176    .0513278
                      5  |   .0054099    .004569     1.18   0.236    -.0035475    .0143673
                      6  |   .0126925   .0045802     2.77   0.006     .0037131    .0216718
                      7  |  -.0239284   .0038843    -6.16   0.000    -.0315433   -.0163135
                      8  |  -.0014565   .0043311    -0.34   0.737    -.0099475    .0070345
                         |
                   round |
                      2  |   .0053066   .0040601     1.31   0.191     -.002653    .0132661
                      3  |  -.0024423   .0037636    -0.65   0.516    -.0098207    .0049361
                         |
                   _cons |  -.0182003   .0037859    -4.81   0.000    -.0256225   -.0107781
------------------------------------------------------------------------------------------

. 
. margins, dydx(treatment) at(re_edu=(2(1)6))

Average marginal effects                                Number of obs = 38,448
Model VCE: Robust

Expression: Linear prediction, predict()
dy/dx wrt:  1.treatment
1._at: re_edu = 2
2._at: re_edu = 3
3._at: re_edu = 4
4._at: re_edu = 5
5._at: re_edu = 6

------------------------------------------------------------------------------
             |            Delta-method
             |      dy/dx   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
0.treatment  |  (base outcome)
-------------+----------------------------------------------------------------
1.treatment  |
         _at |
          1  |   .1921537   .0101309    18.97   0.000     .1722926    .2120149
          2  |    .162735   .0070021    23.24   0.000     .1490077    .1764623
          3  |   .1460358   .0086727    16.84   0.000     .1290334    .1630383
          4  |   .1423683    .005179    27.49   0.000      .132215    .1525216
          5  |   .1157997   .0068295    16.96   0.000     .1024107    .1291887
------------------------------------------------------------------------------
Note: dy/dx for factor levels is the discrete change from the base level.

. marginsplot, xlabel(2 "High school or less" 3 "Some college" 4 "2-year college degree" 5 "4-
> year college degree" 6 `""Postgraduate" "degree""', nogrid labsize(medsmall) labcolor(gray))
>  plotopts(msym(O) msize(medlarge) mlcolor("black") mfcolor("black")) recast(scatter) recastc
> i(rspike) ci1opt(color(black) lwidth(medthick)) xsize(10) scheme(plotplain) xtitle("") ytitl
> e("Treatment effect", size(medlarge) color("gray")) title("{bf: A}", position(11) size(large
> )) ylabel(0(.1).32, labsize(medsmall) labcolor(gray)) xscale(r(1.8 6.2))

Variables that uniquely identify margins: re_edu

.         
.         graph export "figureE2a.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE2a.pdf saved as PDF format

. 
. * Figure E2b: income
. reg dk i.treatment##i.inc13 i.topic i.round, cluster(respondent_id)

Linear regression                               Number of obs     =     37,560
                                                F(34, 4694)       =      68.18
                                                Prob > F          =     0.0000
                                                R-squared         =     0.1163
                                                Root MSE          =      .2445

                             (Std. err. adjusted for 4,695 clusters in respondent_id)
-------------------------------------------------------------------------------------
                    |               Robust
                 dk | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
--------------------+----------------------------------------------------------------
        1.treatment |   .1972223   .0179516    10.99   0.000     .1620288    .2324159
                    |
          inc13_cat |
                 2  |   .0003754   .0009106     0.41   0.680    -.0014098    .0021606
                 3  |   .0003278   .0006827     0.48   0.631    -.0010107    .0016663
                 4  |  -.0003521   .0004638    -0.76   0.448    -.0012614    .0005572
                 5  |  -.0001389   .0004816    -0.29   0.773    -.0010832    .0008053
                 6  |   .0002475   .0006822     0.36   0.717      -.00109     .001585
                 7  |   .0000664   .0008753     0.08   0.940    -.0016497    .0017825
                 8  |   .0007122   .0009046     0.79   0.431    -.0010611    .0024856
                 9  |   .0006879   .0011716     0.59   0.557     -.001609    .0029849
                10  |   .0008403    .000943     0.89   0.373    -.0010083     .002689
                11  |   .0000409   .0005771     0.07   0.943    -.0010906    .0011724
                12  |   .0004674   .0011333     0.41   0.680    -.0017544    .0026891
                13  |   .0005074   .0015742     0.32   0.747    -.0025788    .0035936
                    |
treatment#inc13_cat |
              1  2  |  -.0276185   .0218656    -1.26   0.207    -.0704853    .0152484
              1  3  |  -.0551565   .0203308    -2.71   0.007    -.0950145   -.0152985
              1  4  |   -.043317    .020691    -2.09   0.036     -.083881    -.002753
              1  5  |  -.0316801   .0208998    -1.52   0.130    -.0726534    .0092933
              1  6  |   -.040328   .0209016    -1.93   0.054    -.0813049    .0006488
              1  7  |  -.0459121    .021427    -2.14   0.032    -.0879191   -.0039052
              1  8  |  -.0508857   .0214995    -2.37   0.018    -.0930349   -.0087365
              1  9  |  -.0552495   .0221876    -2.49   0.013    -.0987476   -.0117514
              1 10  |  -.0646228   .0215138    -3.00   0.003       -.1068   -.0224456
              1 11  |  -.0733719   .0197991    -3.71   0.000    -.1121875   -.0345564
              1 12  |  -.0911896   .0216019    -4.22   0.000    -.1335395   -.0488398
              1 13  |  -.1008142   .0210677    -4.79   0.000    -.1421167   -.0595116
                    |
              topic |
                 2  |  -.0236422   .0038618    -6.12   0.000    -.0312132   -.0160712
                 3  |   .1361022   .0059291    22.96   0.000     .1244785     .147726
                 4  |   .0421725   .0048487     8.70   0.000     .0326668    .0516783
                 5  |   .0080937   .0045493     1.78   0.075     -.000825    .0170125
                 6  |   .0149095   .0045556     3.27   0.001     .0059784    .0238406
                 7  |  -.0221512   .0038342    -5.78   0.000    -.0296681   -.0146344
                 8  |  -5.65e-15   .0042835    -0.00   1.000    -.0083977    .0083977
                    |
              round |
                 2  |    .007732   .0040099     1.93   0.054    -.0001294    .0155933
                 3  |    .001014   .0037371     0.27   0.786    -.0063125    .0083406
                    |
              _cons |  -.0219327   .0035068    -6.25   0.000    -.0288077   -.0150578
-------------------------------------------------------------------------------------

.         
. margins, dydx(treatment) at(inc13=(1(1)13))

Average marginal effects                                Number of obs = 37,560
Model VCE: Robust

Expression: Linear prediction, predict()
dy/dx wrt:  1.treatment
1._at:  inc13_cat =  1
2._at:  inc13_cat =  2
3._at:  inc13_cat =  3
4._at:  inc13_cat =  4
5._at:  inc13_cat =  5
6._at:  inc13_cat =  6
7._at:  inc13_cat =  7
8._at:  inc13_cat =  8
9._at:  inc13_cat =  9
10._at: inc13_cat = 10
11._at: inc13_cat = 11
12._at: inc13_cat = 12
13._at: inc13_cat = 13

------------------------------------------------------------------------------
             |            Delta-method
             |      dy/dx   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
0.treatment  |  (base outcome)
-------------+----------------------------------------------------------------
1.treatment  |
         _at |
          1  |   .1972223   .0179516    10.99   0.000     .1620288    .2324159
          2  |   .1696039    .012486    13.58   0.000     .1451254    .1940823
          3  |   .1420659   .0095384    14.89   0.000      .123366    .1607657
          4  |   .1539054   .0102908    14.96   0.000     .1337305    .1740802
          5  |   .1655423   .0106878    15.49   0.000     .1445891    .1864954
          6  |   .1568943   .0106999    14.66   0.000     .1359174    .1778712
          7  |   .1513102   .0117051    12.93   0.000     .1283628    .1742576
          8  |   .1463366   .0118417    12.36   0.000     .1231214    .1695519
          9  |   .1419729   .0130345    10.89   0.000     .1164191    .1675266
         10  |   .1325995   .0118809    11.16   0.000     .1093074    .1558917
         11  |   .1238504   .0083615    14.81   0.000     .1074579    .1402429
         12  |   .1060327   .0120292     8.81   0.000     .0824498    .1296156
         13  |   .0964082   .0110295     8.74   0.000     .0747852    .1180312
------------------------------------------------------------------------------
Note: dy/dx for factor levels is the discrete change from the base level.

. marginsplot, xlabel(1 "<$10k" 2 "$10k-$20k" 3 "$20k-$30k" 4 "$30k-$40k" 5 "$40k-$50k" 6 "$50
> k-$60k" 7 "$60k-$70k" 8 "$70k-$80k" 9 "$80k-$90k" 10 "$90k-$100k" 11 "$100k-$150k" 12 "$150k
> -$200k" 13 ">$200k", nogrid angle(45) labsize(medsmall) labcolor(gray)) plotopts(msym(O) msi
> ze(medlarge) mlcolor("black") mfcolor("black")) recast(scatter) recastci(rspike) ci1opt(colo
> r(black) lwidth(medthick)) xsize(10) scheme(plotplain) xtitle("") ytitle("Treatment effect",
>  size(medlarge) color("gray")) title("{bf: B}", position(11) size(large)) ylabel(0(.1).32, l
> absize(medsmall) labcolor(gray)) xscale(r(0.8 13.2))

Variables that uniquely identify margins: inc13_cat

. 
. graph export "figureE2b.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE2b.pdf saved as PDF format

. 
. 
. *Figure E2c:  gender
. reg dk i.treatment##i.female i.topic i.round, cluster(respondent_id)

Linear regression                               Number of obs     =     38,104
                                                F(12, 4762)       =     199.76
                                                Prob > F          =     0.0000
                                                R-squared         =     0.1169
                                                Root MSE          =     .24712

                          (Std. err. adjusted for 4,763 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
              dk | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .1273685   .0046591    27.34   0.000     .1182346    .1365024
        1.female |  -.0000429   .0003777    -0.11   0.909    -.0007834    .0006975
                 |
treatment#female |
            1 1  |   .0399871   .0063838     6.26   0.000     .0274718    .0525024
                 |
           topic |
              2  |   -.026244    .003916    -6.70   0.000    -.0339212   -.0185667
              3  |   .1358388   .0059143    22.97   0.000     .1242441    .1474335
              4  |   .0405207   .0048401     8.37   0.000     .0310319    .0500095
              5  |   .0054587   .0045907     1.19   0.234    -.0035412    .0144587
              6  |    .013227   .0046018     2.87   0.004     .0042053    .0222486
              7  |  -.0233046   .0039087    -5.96   0.000    -.0309675   -.0156418
              8  |  -.0012597   .0043446    -0.29   0.772    -.0097772    .0072577
                 |
           round |
              2  |   .0054975   .0040795     1.35   0.178    -.0025003    .0134953
              3  |  -.0026438   .0037904    -0.70   0.486    -.0100748    .0047872
                 |
           _cons |  -.0182147   .0036923    -4.93   0.000    -.0254533    -.010976
----------------------------------------------------------------------------------

. 
. margins, dydx(treatment) at(female=(0 1))

Average marginal effects                                Number of obs = 38,104
Model VCE: Robust

Expression: Linear prediction, predict()
dy/dx wrt:  1.treatment
1._at: female = 0
2._at: female = 1

------------------------------------------------------------------------------
             |            Delta-method
             |      dy/dx   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
0.treatment  |  (base outcome)
-------------+----------------------------------------------------------------
1.treatment  |
         _at |
          1  |   .1273685   .0046591    27.34   0.000     .1182346    .1365024
          2  |   .1673556   .0043583    38.40   0.000     .1588113    .1758999
------------------------------------------------------------------------------
Note: dy/dx for factor levels is the discrete change from the base level.

. marginsplot, xlabel(0 "Men" 1 "Women", nogrid labsize(medsmall) labcolor(gray)) plotopts(msy
> m(O) msize(medlarge) mlcolor("black") mfcolor("black")) recast(scatter) recastci(rspike) ci1
> opt(color(black) lwidth(medthick)) xsize(4) scheme(plotplain) xtitle("") ytitle("Treatment e
> ffect", size(medlarge) color("gray")) title("{bf: C}", position(11) size(large)) ylabel(0(.1
> ).32, labsize(medsmall) labcolor(gray)) xscale(r(-0.2 1.2))

Variables that uniquely identify margins: female

. 
. graph export "figureE2c.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE2c.pdf saved as PDF format

. 
. 
. * Figure E2d:  voters
. reg dk i.treatment##i.voter i.topic i.round, cluster(respondent_id)

Linear regression                               Number of obs     =     38,440
                                                F(12, 4804)       =     202.56
                                                Prob > F          =     0.0000
                                                R-squared         =     0.1207
                                                Root MSE          =     .24672

                         (Std. err. adjusted for 4,805 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
             dk | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .2147435   .0091437    23.49   0.000     .1968177    .2326692
        1.voter |   .0004021   .0003005     1.34   0.181    -.0001871    .0009913
                |
treatment#voter |
           1 1  |  -.0792876   .0097237    -8.15   0.000    -.0983506   -.0602246
                |
          topic |
             2  |  -.0264308   .0038925    -6.79   0.000    -.0340619   -.0187997
             3  |   .1365245   .0058896    23.18   0.000     .1249782    .1480707
             4  |   .0420395   .0048442     8.68   0.000     .0325427    .0515364
             5  |   .0056191   .0045648     1.23   0.218      -.00333    .0145683
             6  |   .0126951   .0045808     2.77   0.006     .0037146    .0216756
             7  |  -.0235172   .0038853    -6.05   0.000    -.0311341   -.0159002
             8  |  -.0014568   .0043317    -0.34   0.737    -.0099489    .0070353
                |
          round |
             2  |   .0056171   .0040137     1.40   0.162    -.0022516    .0134859
             3  |  -.0018407   .0037168    -0.50   0.620    -.0091273    .0054459
                |
          _cons |  -.0190678   .0036123    -5.28   0.000    -.0261495    -.011986
---------------------------------------------------------------------------------

. 
. margins, dydx(treatment) at(voter=(0 1))

Average marginal effects                                Number of obs = 38,440
Model VCE: Robust

Expression: Linear prediction, predict()
dy/dx wrt:  1.treatment
1._at: voter = 0
2._at: voter = 1

------------------------------------------------------------------------------
             |            Delta-method
             |      dy/dx   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
0.treatment  |  (base outcome)
-------------+----------------------------------------------------------------
1.treatment  |
         _at |
          1  |   .2147435   .0091437    23.49   0.000     .1968177    .2326692
          2  |   .1354559   .0032883    41.19   0.000     .1290093    .1419025
------------------------------------------------------------------------------
Note: dy/dx for factor levels is the discrete change from the base level.

. marginsplot, xlabel(0 "Non-voters" 1 "Voters", nogrid labsize(medsmall) labcolor(gray)) plot
> opts(msym(O) msize(medlarge) mlcolor("black") mfcolor("black")) recast(scatter) recastci(rsp
> ike) ci1opt(color(black) lwidth(medthick)) xsize(4) scheme(plotplain) xtitle("") ytitle("Tre
> atment effect", size(medlarge) color("gray")) title("{bf: D}", position(11) size(large)) yla
> bel(0(.1).32, labsize(medsmall) labcolor(gray)) xscale(r(-0.2 1.2))

Variables that uniquely identify margins: voter

.         
. graph export "figureE2d.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE2d.pdf saved as PDF format

.         
. * Figure E3a: education
. 
. 
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.college i.round if topic==`n', cluster(respondent_id)
  3. margins, at(college=(0 1) treatment=(0 1)) saving("h2b_edu_topic`n'", replace)
  4. 
. preserve
  5. use "h2b_edu_topic`n'", clear
  6. g topic=`n'
  7. save "h2b_edu_topic`n'", replace
  8. restore
  9. 
. }

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       2.74
                                                Prob > F          =     0.0178
                                                R-squared         =     0.0032
                                                Root MSE          =     .35282

                           (Std. err. adjusted for 4,533 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .029266   .0161534     1.81   0.070    -.0024026    .0609346
        1.college |   .0317356   .0148789     2.13   0.033     .0025657    .0609055
                  |
treatment#college |
             1 1  |   -.020353   .0211751    -0.96   0.337    -.0618666    .0211605
                  |
            round |
               2  |   -.008825   .0136145    -0.65   0.517    -.0355159     .017866
               3  |   .0212134   .0125005     1.70   0.090    -.0032938    .0457205
                  |
            _cons |   .8228772   .0138497    59.41   0.000     .7957249    .8500294
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8281115   .0113246    73.13   0.000     .8059098    .8503132
          2  |   .8598471   .0096497    89.11   0.000      .840929    .8787653
          3  |   .8573775    .011519    74.43   0.000     .8347946    .8799604
          4  |   .8687601    .009718    89.40   0.000     .8497081    .8878122
------------------------------------------------------------------------------
(file h2b_edu_topic1.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic1.dta saved

Linear regression                               Number of obs     =      4,661
                                                F(5, 4660)        =       1.77
                                                Prob > F          =     0.1147
                                                R-squared         =     0.0019
                                                Root MSE          =     .40644

                           (Std. err. adjusted for 4,661 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .018081   .0172262     1.05   0.294    -.0156904    .0518525
        1.college |  -.0241649   .0168264    -1.44   0.151    -.0571526    .0088227
                  |
treatment#college |
             1 1  |  -.0010425   .0238459    -0.04   0.965    -.0477918    .0457068
                  |
            round |
               2  |  -.0095489   .0152052    -0.63   0.530    -.0393582    .0202604
               3  |   .0135284   .0143245     0.94   0.345    -.0145545    .0416113
                  |
            _cons |   .7936406   .0149834    52.97   0.000     .7642662    .8230151
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,661
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7956891   .0121104    65.70   0.000     .7719469    .8194313
          2  |   .7715241   .0116813    66.05   0.000     .7486233     .794425
          3  |   .8137701   .0122357    66.51   0.000     .7897824    .8377578
          4  |   .7885627   .0115895    68.04   0.000     .7658419    .8112835
------------------------------------------------------------------------------
(file h2b_edu_topic2.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic2.dta saved

Linear regression                               Number of obs     =      3,878
                                                F(5, 3877)        =      16.20
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0206
                                                Root MSE          =     .49293

                           (Std. err. adjusted for 3,878 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0138181   .0252673    -0.55   0.584    -.0633566    .0357203
        1.college |   .1393812   .0202406     6.89   0.000     .0996981    .1790644
                  |
treatment#college |
             1 1  |     .00639   .0330919     0.19   0.847    -.0584891    .0712692
                  |
            round |
               2  |  -.0177428   .0199846    -0.89   0.375    -.0569242    .0214386
               3  |  -.0260363   .0191769    -1.36   0.175    -.0636341    .0115615
                  |
            _cons |    .489111   .0192307    25.43   0.000     .4514078    .5268142
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,878
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4738268   .0150203    31.55   0.000     .4443783    .5032752
          2  |    .613208   .0135606    45.22   0.000     .5866214    .6397946
          3  |   .4600086   .0203162    22.64   0.000     .4201771    .4998402
          4  |   .6057799   .0165085    36.70   0.000     .5734137    .6381461
------------------------------------------------------------------------------
(file h2b_edu_topic3.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic3.dta saved

Linear regression                               Number of obs     =      4,332
                                                F(5, 4331)        =       2.29
                                                Prob > F          =     0.0431
                                                R-squared         =     0.0026
                                                Root MSE          =     .49549

                           (Std. err. adjusted for 4,332 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0021898   .0226343    -0.10   0.923    -.0465646    .0421851
        1.college |  -.0263528   .0202672    -1.30   0.194    -.0660869    .0133812
                  |
treatment#college |
             1 1  |  -.0251841   .0304992    -0.83   0.409    -.0849783      .03461
                  |
            round |
               2  |  -.0313635   .0190921    -1.64   0.101    -.0687937    .0060667
               3  |  -.0276569   .0181986    -1.52   0.129    -.0633355    .0080217
                  |
            _cons |   .6068516   .0186951    32.46   0.000     .5701997    .6435035
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,332
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5866116   .0148183    39.59   0.000     .5575601    .6156632
          2  |   .5602588   .0138197    40.54   0.000     .5331651    .5873525
          3  |   .5844219   .0171042    34.17   0.000     .5508888     .617955
          4  |   .5328849   .0150259    35.46   0.000     .5034264    .5623435
------------------------------------------------------------------------------
(file h2b_edu_topic4.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic4.dta saved

Linear regression                               Number of obs     =      4,507
                                                F(5, 4506)        =       0.27
                                                Prob > F          =     0.9294
                                                R-squared         =     0.0003
                                                Root MSE          =     .48984

                           (Std. err. adjusted for 4,507 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0094145   .0216771     0.43   0.664    -.0330834    .0519123
        1.college |  -.0122494   .0200978    -0.61   0.542     -.051651    .0271522
                  |
treatment#college |
             1 1  |  -.0020841   .0293761    -0.07   0.943    -.0596757    .0555076
                  |
            round |
               2  |  -.0087763   .0184712    -0.48   0.635    -.0449889    .0274363
               3  |  -.0027089   .0176817    -0.15   0.878    -.0373738     .031956
                  |
            _cons |   .6081088   .0184478    32.96   0.000      .571942    .6442757
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,507
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .604341   .0147113    41.08   0.000     .5754996    .6331824
          2  |   .5920916   .0136827    43.27   0.000     .5652669    .6189164
          3  |   .6137555   .0159154    38.56   0.000     .5825534    .6449576
          4  |    .599422   .0143319    41.82   0.000     .5713244    .6275197
------------------------------------------------------------------------------
(file h2b_edu_topic5.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic5.dta saved

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       5.91
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0067
                                                Root MSE          =     .41011

                           (Std. err. adjusted for 4,472 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0192935   .0190927     1.01   0.312    -.0181376    .0567246
        1.college |   .0622695   .0170318     3.66   0.000     .0288786    .0956603
                  |
treatment#college |
             1 1  |  -.0190462   .0249077    -0.76   0.445    -.0678776    .0297853
                  |
            round |
               2  |   .0335131   .0158293     2.12   0.034     .0024799    .0645463
               3  |   .0469938   .0149693     3.14   0.002     .0176465     .076341
                  |
            _cons |   .7184136    .016389    43.84   0.000     .6862831     .750544
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7464499   .0130548    57.18   0.000     .7208561    .7720438
          2  |   .8087194   .0109389    73.93   0.000     .7872738     .830165
          3  |   .7657435    .013925    54.99   0.000     .7384437    .7930433
          4  |   .8089668   .0116229    69.60   0.000     .7861802    .8317534
------------------------------------------------------------------------------
(file h2b_edu_topic6.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic6.dta saved

Linear regression                               Number of obs     =      4,648
                                                F(5, 4647)        =       1.51
                                                Prob > F          =     0.1829
                                                R-squared         =     0.0017
                                                Root MSE          =     .42088

                           (Std. err. adjusted for 4,648 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0291962   .0188055     1.55   0.121    -.0076714    .0660639
        1.college |   .0395418   .0175024     2.26   0.024     .0052287    .0738549
                  |
treatment#college |
             1 1  |  -.0254837   .0249599    -1.02   0.307     -.074417    .0234496
                  |
            round |
               2  |   .0040644   .0155503     0.26   0.794    -.0264215    .0345504
               3  |  -.0051949   .0149931    -0.35   0.729    -.0345884    .0241987
                  |
            _cons |   .7415395   .0160389    46.23   0.000     .7100956    .7729833
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,648
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7408627   .0131802    56.21   0.000     .7150233    .7667021
          2  |   .7804045   .0115144    67.78   0.000     .7578308    .8029781
          3  |   .7700589   .0134004    57.47   0.000     .7437878      .79633
          4  |   .7841171   .0116226    67.46   0.000     .7613313    .8069028
------------------------------------------------------------------------------
(file h2b_edu_topic7.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic7.dta saved

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.95
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0118
                                                Root MSE          =     .49723

                           (Std. err. adjusted for 4,540 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0148906   .0220982     0.67   0.500    -.0284327    .0582138
        1.college |   .0814964   .0204047     3.99   0.000     .0414932    .1214996
                  |
treatment#college |
             1 1  |   .0251871   .0297543     0.85   0.397    -.0331458      .08352
                  |
            round |
               2  |  -.0490139   .0187004    -2.62   0.009    -.0856758   -.0123521
               3  |  -.0469062   .0178249    -2.63   0.009    -.0818518   -.0119607
                  |
            _cons |   .4866975   .0186942    26.03   0.000     .4500477    .5233472
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4537843   .0149615    30.33   0.000     .4244526     .483116
          2  |   .5352807   .0138647    38.61   0.000     .5080991    .5624624
          3  |   .4686749   .0162589    28.83   0.000     .4367994    .5005503
          4  |   .5753584    .014282    40.29   0.000     .5473586    .6033582
------------------------------------------------------------------------------
(file h2b_edu_topic8.dta not found)
(Created by command margins; also see char list)
file h2b_edu_topic8.dta saved

. 
. preserve

. use "h2b_edu_topic1", clear
(Created by command margins; also see char list)

. 
. foreach n of numlist 2/8 {
  2. append using "h2b_edu_topic`n'"
  3. }
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. * add a little "jitter"
. replace _at2=_at2+1
(32 real changes made)

. replace _at2=.90 if _at2==1 & _at1==0
variable _at2 was byte now float
(8 real changes made)

. replace _at2=1.90 if _at2==2 & _at1==0
(8 real changes made)

. 
. 
. replace _at2=1.1 if _at2==1 & _at1==1
(8 real changes made)

. replace _at2=2.1 if _at2==2 & _at1==1
(8 real changes made)

. 
. twoway ///
> (scatter _margin _at2 if _at1==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter _margin _at2 if _at1==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(solid)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==1, lcolor(gray)  lwidth(medthick)), ///
> by(topic, r(1) note("") title("{bf: A}", size(large) position(11))) subtitle(,  size(medsmal
> l)) ///
> scheme(plotplain) yline(.5) legend(pos(6) col(2) title("")  order(1 2) label(1 "No DK-option
> ") label(2 "DK-option")) xlabel(1 "No" 2 "Yes", labsize(medsmall)  labcolor(gray) tlength(0.
> 5)) xtick(1 2) ylabel(0.3(.1)0.9, labsize(medsmall) labcolor(gray)) xtitle("College degree",
>  size(medsmall) color(gray)) ytitle("Policy support", size(medsmall) color(gray)) xsize(8) 

. restore

. 
. graph export "figureE3a.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE3a.pdf saved as PDF format

. 
.         
.         
. * Figure E3b: income
. 
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.inc3 i.round if topic==`n', cluster(respondent_id)
  3. margins, at(inc3=(1 2 3) treatment=(0 1)) saving("h2b_inc_topic`n'", replace)
  4. 
. preserve
  5. use "h2b_inc_topic`n'", clear
  6. g topic=`n'
  7. save "h2b_inc_topic`n'", replace
  8. restore
  9. 
. }

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       1.63
                                                Prob > F          =     0.1217
                                                R-squared         =     0.0025
                                                Root MSE          =     .35279

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0125283   .0185642     0.67   0.500    -.0238668    .0489235
                   |
          inc3_cat |
                2  |  -.0269133   .0184147    -1.46   0.144    -.0630153    .0091886
                3  |  -.0202393   .0179056    -1.13   0.258    -.0553432    .0148646
                   |
treatment#inc3_cat |
              1 2  |   .0038759    .026302     0.15   0.883    -.0476892     .055441
              1 3  |   .0045058   .0256784     0.18   0.861    -.0458366    .0548482
                   |
             round |
                2  |  -.0076365    .013764    -0.55   0.579    -.0346207    .0193477
                3  |   .0209114    .012663     1.65   0.099    -.0039144    .0457373
                   |
             _cons |   .8579242   .0150952    56.83   0.000       .82833    .8875184
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .863418   .0128931    66.97   0.000     .8381411    .8886949
          2  |   .8365046   .0131392    63.66   0.000     .8107453    .8622639
          3  |   .8431787   .0124201    67.89   0.000     .8188292    .8675282
          4  |   .8759463   .0133654    65.54   0.000     .8497434    .9021492
          5  |   .8529089   .0132085    64.57   0.000     .8270136    .8788042
          6  |   .8602128   .0126582    67.96   0.000     .8353964    .8850292
------------------------------------------------------------------------------
(file h2b_inc_topic1.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic1.dta saved

Linear regression                               Number of obs     =      4,555
                                                F(7, 4554)        =       5.44
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0080
                                                Root MSE          =     .40578

                            (Std. err. adjusted for 4,555 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0237879     .02008     1.18   0.236    -.0155788    .0631545
                   |
          inc3_cat |
                2  |  -.0401943   .0205915    -1.95   0.051    -.0805635    .0001749
                3  |  -.0695934   .0206209    -3.37   0.001    -.1100203   -.0291665
                   |
treatment#inc3_cat |
              1 2  |   .0048197   .0286977     0.17   0.867    -.0514417    .0610811
              1 3  |   -.026177   .0294525    -0.89   0.374    -.0839182    .0315641
                   |
             round |
                2  |    -.00672   .0153972    -0.44   0.663    -.0369059    .0234659
                3  |   .0195438   .0144774     1.35   0.177    -.0088389    .0479264
                   |
             _cons |   .8157534   .0167667    48.65   0.000     .7828826    .8486242
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,555
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8209479   .0143976    57.02   0.000     .7927216    .8491742
          2  |   .7807536   .0147245    53.02   0.000     .7518865    .8096208
          3  |   .7513545    .014756    50.92   0.000     .7224257    .7802834
          4  |   .8447358   .0139981    60.35   0.000     .8172926    .8721789
          5  |   .8093612   .0142888    56.64   0.000     .7813482    .8373742
          6  |   .7489654   .0156886    47.74   0.000     .7182081    .7797227
------------------------------------------------------------------------------
(file h2b_inc_topic2.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic2.dta saved

Linear regression                               Number of obs     =      3,805
                                                F(7, 3804)        =       1.15
                                                Prob > F          =     0.3294
                                                R-squared         =     0.0021
                                                Root MSE          =     .49761

                            (Std. err. adjusted for 3,805 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0279366   .0307955     0.91   0.364    -.0324407    .0883139
                   |
          inc3_cat |
                2  |  -.0141002   .0258197    -0.55   0.585    -.0647219    .0365215
                3  |   .0229966   .0252643     0.91   0.363    -.0265363    .0725294
                   |
treatment#inc3_cat |
              1 2  |   -.045674   .0422086    -1.08   0.279    -.1284278    .0370797
              1 3  |  -.0315277   .0409709    -0.77   0.442    -.1118549    .0487994
                   |
             round |
                2  |  -.0158792   .0203862    -0.78   0.436    -.0558481    .0240896
                3  |  -.0265817   .0195392    -1.36   0.174      -.06489    .0117267
                   |
             _cons |   .5595932   .0220355    25.40   0.000     .5163907    .6027958
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,805
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5446873   .0187375    29.07   0.000     .5079507    .5814238
          2  |   .5305871   .0177617    29.87   0.000     .4957637    .5654104
          3  |   .5676839   .0169401    33.51   0.000     .5344713    .6008964
          4  |   .5726239    .024446    23.42   0.000     .5246953    .6205524
          5  |   .5128496   .0227523    22.54   0.000     .4682418    .5574574
          6  |   .5640927   .0210635    26.78   0.000     .5227958    .6053896
------------------------------------------------------------------------------
(file h2b_inc_topic3.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic3.dta saved

Linear regression                               Number of obs     =      4,246
                                                F(7, 4245)        =      10.89
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0174
                                                Root MSE          =     .49206

                            (Std. err. adjusted for 4,246 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |  -.0130228   .0271897    -0.48   0.632    -.0663289    .0402833
                   |
          inc3_cat |
                2  |  -.0743882   .0251296    -2.96   0.003    -.1236553   -.0251211
                3  |  -.1561101   .0247637    -6.30   0.000      -.20466   -.1075603
                   |
treatment#inc3_cat |
              1 2  |   .0023877   .0378604     0.06   0.950    -.0718385    .0766139
              1 3  |  -.0016424   .0372901    -0.04   0.965    -.0747506    .0714657
                   |
             round |
                2  |  -.0251904   .0191697    -1.31   0.189    -.0627731    .0123923
                3  |  -.0180502   .0182913    -0.99   0.324    -.0539106    .0178102
                   |
             _cons |   .6662977   .0209887    31.75   0.000     .6251489    .7074465
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,246
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6516112   .0179413    36.32   0.000     .6164369    .6867854
          2  |    .577223   .0175956    32.80   0.000     .5427264    .6117196
          3  |    .495501   .0170678    29.03   0.000     .4620392    .5289629
          4  |   .6385884   .0204493    31.23   0.000      .598497    .6786798
          5  |   .5665879    .019609    28.89   0.000     .5281441    .6050317
          6  |   .4808358   .0189544    25.37   0.000     .4436753    .5179964
------------------------------------------------------------------------------
(file h2b_inc_topic4.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic4.dta saved

Linear regression                               Number of obs     =      4,406
                                                F(7, 4405)        =       0.75
                                                Prob > F          =     0.6324
                                                R-squared         =     0.0012
                                                Root MSE          =     .48971

                            (Std. err. adjusted for 4,406 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |    .018674   .0271884     0.69   0.492    -.0346289    .0719769
                   |
          inc3_cat |
                2  |   .0412584   .0254238     1.62   0.105    -.0085851    .0911018
                3  |   .0272281    .025005     1.09   0.276    -.0217943    .0762506
                   |
treatment#inc3_cat |
              1 2  |  -.0404399   .0371763    -1.09   0.277    -.1133242    .0324444
              1 3  |   .0057002   .0366186     0.16   0.876    -.0660906    .0774911
                   |
             round |
                2  |  -.0102677   .0186775    -0.55   0.583    -.0468849    .0263495
                3  |  -.0064285   .0179139    -0.36   0.720    -.0415487    .0286916
                   |
             _cons |   .5803374   .0214741    27.03   0.000     .5382374    .6224374
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,406
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5747076   .0186019    30.90   0.000     .5382386    .6111766
          2  |    .615966   .0173301    35.54   0.000     .5819902    .6499417
          3  |   .6019357   .0167091    36.02   0.000     .5691775     .634694
          4  |   .5933816   .0198333    29.92   0.000     .5544984    .6322649
          5  |   .5942001   .0185129    32.10   0.000     .5579055    .6304946
          6  |     .62631   .0179587    34.88   0.000      .591102     .661518
------------------------------------------------------------------------------
(file h2b_inc_topic5.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic5.dta saved

Linear regression                               Number of obs     =      4,374
                                                F(7, 4373)        =       3.00
                                                Prob > F          =     0.0039
                                                R-squared         =     0.0047
                                                Root MSE          =     .41064

                            (Std. err. adjusted for 4,374 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0227538    .022969     0.99   0.322    -.0222772    .0677847
                   |
          inc3_cat |
                2  |  -.0079684   .0220306    -0.36   0.718    -.0511596    .0352229
                3  |   .0460959   .0206903     2.23   0.026     .0055324    .0866594
                   |
treatment#inc3_cat |
              1 2  |  -.0018597   .0316948    -0.06   0.953    -.0639976    .0602781
              1 3  |  -.0376229   .0305051    -1.23   0.218    -.0974284    .0221826
                   |
             round |
                2  |    .035148   .0160477     2.19   0.029     .0036864    .0666096
                3  |   .0483138   .0151763     3.18   0.001     .0185606     .078067
                   |
             _cons |   .7374186   .0186857    39.46   0.000     .7007852    .7740519
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,374
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7664891   .0158719    48.29   0.000     .7353722     .797606
          2  |   .7585207    .015285    49.63   0.000     .7285545     .788487
          3  |    .812585   .0132599    61.28   0.000     .7865889    .8385811
          4  |   .7892429   .0165852    47.59   0.000     .7567275    .8217583
          5  |   .7794148   .0156169    49.91   0.000     .7487978    .8100318
          6  |   .7977159   .0151034    52.82   0.000     .7681055    .8273263
------------------------------------------------------------------------------
(file h2b_inc_topic6.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic6.dta saved

Linear regression                               Number of obs     =      4,548
                                                F(7, 4547)        =       0.82
                                                Prob > F          =     0.5743
                                                R-squared         =     0.0013
                                                Root MSE          =     .42135

                            (Std. err. adjusted for 4,548 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0198288   .0227726     0.87   0.384    -.0248165     .064474
                   |
          inc3_cat |
                2  |  -.0217396   .0223618    -0.97   0.331    -.0655795    .0221003
                3  |   .0193336   .0213396     0.91   0.365    -.0225024    .0611696
                   |
treatment#inc3_cat |
              1 2  |   .0162807    .031447     0.52   0.605    -.0453707    .0779322
              1 3  |   -.027967   .0307508    -0.91   0.363    -.0882535    .0323194
                   |
             round |
                2  |   .0051308   .0157515     0.33   0.745    -.0257499    .0360114
                3  |  -.0042002   .0151996    -0.28   0.782    -.0339988    .0255984
                   |
             _cons |    .762284   .0184788    41.25   0.000     .7260567    .7985114
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,548
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7623048   .0160238    47.57   0.000     .7308905    .7937192
          2  |   .7405652    .015605    47.46   0.000     .7099718    .7711586
          3  |   .7816384   .0140919    55.47   0.000     .7540115    .8092653
          4  |   .7821336   .0161898    48.31   0.000     .7503937    .8138735
          5  |   .7766747   .0150969    51.45   0.000     .7470775    .8062719
          6  |   .7735002    .015073    51.32   0.000     .7439497    .8030506
------------------------------------------------------------------------------
(file h2b_inc_topic7.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic7.dta saved

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       3.94
                                                Prob > F          =     0.0003
                                                R-squared         =     0.0061
                                                Root MSE          =      .4988

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0377886   .0273565     1.38   0.167    -.0158438    .0914211
                   |
          inc3_cat |
                2  |  -.0364959   .0258199    -1.41   0.158    -.0871156    .0141239
                3  |   .0285458   .0253812     1.12   0.261    -.0212141    .0783056
                   |
treatment#inc3_cat |
              1 2  |  -.0047325   .0375994    -0.13   0.900    -.0784461    .0689811
              1 3  |  -.0084377   .0370179    -0.23   0.820    -.0810113    .0641358
                   |
             round |
                2  |  -.0525378   .0189523    -2.77   0.006    -.0896937   -.0153819
                3  |  -.0518445   .0181279    -2.86   0.004    -.0873841   -.0163048
                   |
             _cons |    .533366   .0216519    24.63   0.000     .4909175    .5758145
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4974866   .0187943    26.47   0.000     .4606404    .5343328
          2  |   .4609907   .0177007    26.04   0.000     .4262885     .495693
          3  |   .5260323   .0170556    30.84   0.000      .492595    .5594697
          4  |   .5352752   .0198893    26.91   0.000     .4962823    .5742681
          5  |   .4940469    .018761    26.33   0.000     .4572659    .5308278
          6  |   .5553833   .0181938    30.53   0.000     .5197144    .5910521
------------------------------------------------------------------------------
(file h2b_inc_topic8.dta not found)
(Created by command margins; also see char list)
file h2b_inc_topic8.dta saved

. 
. preserve

. use "h2b_inc_topic1", clear
(Created by command margins; also see char list)

. 
. foreach n of numlist 2/8 {
  2. append using "h2b_inc_topic`n'"
  3. }
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. * add a little "jitter"
. replace _at2=.90 if _at2==1 & _at1==0
variable _at2 was byte now float
(8 real changes made)

. replace _at2=1.90 if _at2==2 & _at1==0
(8 real changes made)

. replace _at2=2.90 if _at2==3 & _at1==0
(8 real changes made)

. 
. 
. replace _at2=1.1 if _at2==1 & _at1==1
(8 real changes made)

. replace _at2=2.1 if _at2==2 & _at1==1
(8 real changes made)

. replace _at2=3.1 if _at2==3 & _at1==1
(8 real changes made)

. 
. twoway ///
> (scatter _margin _at2 if _at1==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter _margin _at2 if _at1==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(solid)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==1, lcolor(gray)  lwidth(medthick)), ///
> by(topic, r(1) note("") title("{bf: B}", size(large) position(11))) subtitle(,  size(medsmal
> l)) ///
> scheme(plotplain) yline(.5) legend(pos(6) col(2) title("")  order(1 2) label(1 "No DK-option
> ") label(2 "DK-option")) xlabel(1 "Low" 2 "Med" 3 "High", labsize(medsmall)  labcolor(gray) 
> tlength(0.5)) xtick(1 2 3) ylabel(0.3(.1)0.9, labsize(medsmall) labcolor(gray)) xtitle("Inco
> me", size(medsmall) color(gray)) ytitle("Policy support", size(medsmall) color(gray)) xsize(
> 8)

. 
. graph export "figureE3b.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE3b.pdf saved as PDF format

. restore

. 
. 
. 
. * Figure E3c: gender
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.female i.round if topic==`n', cluster(respondent_id)
  3. margins, at(female=(0 1) treatment=(0 1)) saving("h2b_female_topic`n'", replace)
  4. 
. preserve
  5. use "h2b_female_topic`n'", clear
  6. g topic=`n'
  7. save "h2b_female_topic`n'", replace
  8. restore
  9. 
. }

Linear regression                               Number of obs     =      4,493
                                                F(5, 4492)        =       4.35
                                                Prob > F          =     0.0006
                                                R-squared         =     0.0045
                                                Root MSE          =     .35388

                          (Std. err. adjusted for 4,493 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0001028   .0157737    -0.01   0.995     -.031027    .0308213
        1.female |   .0133958   .0148665     0.90   0.368    -.0157499    .0425414
                 |
treatment#female |
            1 1  |   .0363095   .0211394     1.72   0.086    -.0051341    .0777531
                 |
           round |
              2  |  -.0089826   .0137135    -0.66   0.512    -.0358678    .0179026
              3  |   .0208181   .0125937     1.65   0.098    -.0038718    .0455081
                 |
           _cons |   .8320719   .0135108    61.59   0.000      .805584    .8585598
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,493
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8371062   .0107603    77.80   0.000     .8160107    .8582017
          2  |    .850502   .0102615    82.88   0.000     .8303843    .8706196
          3  |   .8370034   .0115336    72.57   0.000     .8143919    .8596148
          4  |   .8867086   .0096315    92.06   0.000     .8678261    .9055911
------------------------------------------------------------------------------
(file h2b_female_topic1.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic1.dta saved

Linear regression                               Number of obs     =      4,618
                                                F(5, 4617)        =       8.05
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0090
                                                Root MSE          =     .40624

                          (Std. err. adjusted for 4,618 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |    .025752   .0182049     1.41   0.157    -.0099383    .0614422
        1.female |   .0808874    .016902     4.79   0.000     .0477514    .1140233
                 |
treatment#female |
            1 1  |  -.0180912   .0239978    -0.75   0.451    -.0651384     .028956
                 |
           round |
              2  |  -.0096877   .0152512    -0.64   0.525    -.0395874    .0202121
              3  |   .0121062   .0143849     0.84   0.400     -.016095    .0403074
                 |
           _cons |   .7383761   .0156415    47.21   0.000     .7077112     .769041
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,618
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7398506   .0127993    57.80   0.000     .7147578    .7649434
          2  |    .820738   .0110437    74.32   0.000     .7990871    .8423888
          3  |   .7656026   .0129411    59.16   0.000     .7402319    .7909732
          4  |   .8283987   .0110616    74.89   0.000     .8067128    .8500847
------------------------------------------------------------------------------
(file h2b_female_topic2.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic2.dta saved

Linear regression                               Number of obs     =      3,846
                                                F(5, 3845)        =       2.65
                                                Prob > F          =     0.0215
                                                R-squared         =     0.0034
                                                Root MSE          =     .49749

                          (Std. err. adjusted for 3,846 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0136949   .0227934     0.60   0.548    -.0309934    .0583832
        1.female |  -.0363183   .0204205    -1.78   0.075    -.0763542    .0037177
                 |
treatment#female |
            1 1  |  -.0372358   .0330913    -1.13   0.261     -.102114    .0276424
                 |
           round |
              2  |  -.0161867   .0202887    -0.80   0.425    -.0559645     .023591
              3  |  -.0264463   .0193793    -1.36   0.172    -.0644411    .0115484
                 |
           _cons |     .57935   .0186139    31.12   0.000     .5428559    .6158441
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,846
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5643897   .0144897    38.95   0.000     .5359815    .5927979
          2  |   .5280714   .0143841    36.71   0.000     .4998702    .5562726
          3  |   .5780846   .0175972    32.85   0.000     .5435838    .6125854
          4  |   .5045306   .0192018    26.28   0.000     .4668838    .5421773
------------------------------------------------------------------------------
(file h2b_female_topic3.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic3.dta saved

Linear regression                               Number of obs     =      4,300
                                                F(5, 4299)        =       1.68
                                                Prob > F          =     0.1347
                                                R-squared         =     0.0019
                                                Root MSE          =     .49602

                          (Std. err. adjusted for 4,300 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0066106   .0215688    -0.31   0.759    -.0488965    .0356753
        1.female |   .0381551     .02031     1.88   0.060     -.001663    .0779733
                 |
treatment#female |
            1 1  |  -.0226746    .030455    -0.74   0.457    -.0823821    .0370329
                 |
           round |
              2  |  -.0282513   .0191803    -1.47   0.141    -.0658546    .0093519
              3  |  -.0280314   .0182823    -1.53   0.125    -.0638742    .0078114
                 |
           _cons |   .5701362   .0182729    31.20   0.000     .5343119    .6059604
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,300
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507197   .0145428    37.87   0.000     .5222083    .5792311
          2  |   .5888748   .0141739    41.55   0.000     .5610866     .616663
          3  |   .5441091   .0159264    34.16   0.000     .5128852     .575333
          4  |   .5595896   .0161656    34.62   0.000     .5278967    .5912825
------------------------------------------------------------------------------
(file h2b_female_topic4.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic4.dta saved

Linear regression                               Number of obs     =      4,467
                                                F(5, 4466)        =       8.51
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0093
                                                Root MSE          =     .48678

                          (Std. err. adjusted for 4,467 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0418714   .0204348     2.05   0.041     .0018091    .0819337
        1.female |  -.0597327   .0200554    -2.98   0.003    -.0990513   -.0204141
                 |
treatment#female |
            1 1  |   -.061175   .0291565    -2.10   0.036    -.1183362   -.0040139
                 |
           round |
              2  |  -.0101435   .0184092    -0.55   0.582    -.0462346    .0259477
              3  |  -.0046223   .0176642    -0.26   0.794    -.0392529    .0300083
                 |
           _cons |   .6362981   .0176379    36.08   0.000     .6017191    .6708772
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,467
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6313793   .0141017    44.77   0.000     .6037329    .6590256
          2  |   .5716466   .0142548    40.10   0.000     .5437002     .599593
          3  |   .6732507   .0147914    45.52   0.000     .6442522    .7022491
          4  |   .5523429   .0151341    36.50   0.000     .5226727    .5820132
------------------------------------------------------------------------------
(file h2b_female_topic5.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic5.dta saved

Linear regression                               Number of obs     =      4,430
                                                F(5, 4429)        =      11.25
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0126
                                                Root MSE          =     .41045

                          (Std. err. adjusted for 4,430 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   -.005131   .0191595    -0.27   0.789    -.0426933    .0324312
        1.female |   .0721206   .0169878     4.25   0.000     .0388161    .1054252
                 |
treatment#female |
            1 1  |   .0219322   .0249219     0.88   0.379    -.0269273    .0707917
                 |
           round |
              2  |   .0341422   .0158844     2.15   0.032     .0030007    .0652836
              3  |    .046964    .015106     3.11   0.002     .0173487    .0765792
                 |
           _cons |   .7133709   .0159273    44.79   0.000     .6821454    .7445965
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,430
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7416174   .0127767    58.04   0.000     .7165686    .7666662
          2  |   .8137381   .0111938    72.70   0.000     .7917926    .8356836
          3  |   .7364864   .0142678    51.62   0.000     .7085144    .7644583
          4  |   .8305392    .011327    73.32   0.000     .8083327    .8527458
------------------------------------------------------------------------------
(file h2b_female_topic6.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic6.dta saved

Linear regression                               Number of obs     =      4,604
                                                F(5, 4603)        =      12.17
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0130
                                                Root MSE          =     .41974

                          (Std. err. adjusted for 4,604 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0074537   .0191961     0.39   0.698    -.0301799    .0450872
        1.female |   .0905467   .0174366     5.19   0.000     .0563625    .1247308
                 |
treatment#female |
            1 1  |   .0091068   .0249457     0.37   0.715    -.0397986    .0580123
                 |
           round |
              2  |   .0043442   .0155565     0.28   0.780     -.026154    .0348424
              3  |   -.006384   .0150419    -0.42   0.671    -.0358734    .0231054
                 |
           _cons |   .7157708   .0159037    45.01   0.000      .684592    .7469497
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,604
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7147358   .0131832    54.22   0.000     .6888905    .7405811
          2  |   .8052825   .0114102    70.58   0.000      .782913    .8276519
          3  |   .7221895   .0139495    51.77   0.000     .6948417    .7495372
          4  |   .8218429   .0110948    74.07   0.000     .8000918    .8435941
------------------------------------------------------------------------------
(file h2b_female_topic7.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic7.dta saved

Linear regression                               Number of obs     =      4,499
                                                F(5, 4498)        =       4.14
                                                Prob > F          =     0.0009
                                                R-squared         =     0.0045
                                                Root MSE          =     .49911

                          (Std. err. adjusted for 4,499 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0262537   .0214138     1.23   0.220    -.0157278    .0682353
        1.female |   .0400383   .0204748     1.96   0.051    -.0001023    .0801789
                 |
treatment#female |
            1 1  |   .0035074   .0298409     0.12   0.906    -.0549954    .0620102
                 |
           round |
              2  |  -.0502336   .0188281    -2.67   0.008     -.087146   -.0133213
              3  |  -.0473179   .0180081    -2.63   0.009    -.0826227   -.0120131
                 |
           _cons |   .5086953   .0181689    28.00   0.000     .4730754    .5443152
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,499
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4752339   .0145536    32.65   0.000     .4467017    .5037662
          2  |   .5152722   .0143978    35.79   0.000     .4870456    .5434989
          3  |   .5014877    .015706    31.93   0.000     .4706962    .5322791
          4  |   .5450334    .014977    36.39   0.000     .5156712    .5743956
------------------------------------------------------------------------------
(file h2b_female_topic8.dta not found)
(Created by command margins; also see char list)
file h2b_female_topic8.dta saved

. 
. preserve

. use "h2b_female_topic1", clear
(Created by command margins; also see char list)

. 
. foreach n of numlist 2/8 {
  2. append using "h2b_female_topic`n'"
  3. }
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. * add a little "jitter"
. replace _at2=_at2+1
(32 real changes made)

. replace _at2=.90 if _at2==1 & _at1==0
variable _at2 was byte now float
(8 real changes made)

. replace _at2=1.90 if _at2==2 & _at1==0
(8 real changes made)

. 
. 
. replace _at2=1.1 if _at2==1 & _at1==1
(8 real changes made)

. replace _at2=2.1 if _at2==2 & _at1==1
(8 real changes made)

. 
. twoway ///
> (scatter _margin _at2 if _at1==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter _margin _at2 if _at1==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(solid)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==1, lcolor(gray)  lwidth(medthick)), ///
> by(topic, r(1) note("") title("{bf: C}", size(large) position(11))) subtitle(,  size(medsmal
> l)) ///
> scheme(plotplain) yline(.5) legend(pos(6) col(2) title("")  order(1 2) label(1 "No DK-option
> ") label(2 "DK-option")) xlabel(1 "Men" 2 "Women", labsize(medsmall)  labcolor(gray) tlength
> (0.5)) xtick(1 2) ylabel(0.3(.1)0.9, labsize(medsmall) labcolor(gray)) xtitle("", size(medsm
> all) color(gray)) ytitle("Policy support", size(medsmall) color(gray)) xsize(8) 

. 
. 
. graph export "figureE3c.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE3c.pdf saved as PDF format

. restore

. 
. 
. 
. * Figure E3d: voter
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.voter i.round if topic==`n', cluster(respondent_id)
  3. margins, at(voter=(0 1) treatment=(0 1)) saving("h2b_voter_topic`n'", replace)
  4. 
. preserve
  5. use "h2b_voter_topic`n'", clear
  6. g topic=`n'
  7. save "h2b_voter_topic`n'", replace
  8. restore
  9. 
. }

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       1.93
                                                Prob > F          =     0.0867
                                                R-squared         =     0.0021
                                                Root MSE          =       .353

                         (Std. err. adjusted for 4,533 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324896   .0258276     1.26   0.208     -.018145    .0831242
        1.voter |   .0006998   .0197291     0.04   0.972    -.0379789    .0393786
                |
treatment#voter |
           1 1  |  -.0161238   .0282603    -0.57   0.568    -.0715278    .0392801
                |
          round |
             2  |  -.0090671   .0136479    -0.66   0.506    -.0358237    .0176894
             3  |   .0209169   .0125192     1.67   0.095    -.0036269    .0454607
                |
          _cons |    .839491   .0193229    43.45   0.000     .8016087    .8773734
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8445502   .0179837    46.96   0.000     .8092934    .8798069
          2  |     .84525   .0080957   104.41   0.000     .8293785    .8611215
          3  |   .8770398   .0185369    47.31   0.000     .8406985    .9133811
          4  |   .8616158   .0081048   106.31   0.000     .8457264    .8775052
------------------------------------------------------------------------------
(file h2b_voter_topic1.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic1.dta saved

Linear regression                               Number of obs     =      4,660
                                                F(5, 4659)        =       2.32
                                                Prob > F          =     0.0411
                                                R-squared         =     0.0024
                                                Root MSE          =     .40608

                         (Std. err. adjusted for 4,660 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0116489   .0273419     0.43   0.670    -.0419542    .0652519
        1.voter |   -.043892   .0212523    -2.07   0.039    -.0855567   -.0022274
                |
treatment#voter |
           1 1  |   .0061714   .0303584     0.20   0.839    -.0533454    .0656881
                |
          round |
             2  |  -.0082971   .0152108    -0.55   0.585    -.0381175    .0215234
             3  |   .0142493   .0143161     1.00   0.320    -.0138171    .0423157
                |
          _cons |   .8171569   .0207658    39.35   0.000     .7764462    .8578677
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,660
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8198749   .0190865    42.96   0.000     .7824563    .8572935
          2  |   .7759829    .009339    83.09   0.000      .757674    .7942918
          3  |   .8315238   .0195804    42.47   0.000     .7931369    .8699107
          4  |   .7938032   .0093038    85.32   0.000     .7755633     .812043
------------------------------------------------------------------------------
(file h2b_voter_topic2.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic2.dta saved

Linear regression                               Number of obs     =      3,877
                                                F(5, 3876)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0043
                                                Root MSE          =     .49697

                         (Std. err. adjusted for 3,877 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0030396   .0431425    -0.07   0.944    -.0876238    .0815446
        1.voter |   .0846489   .0272429     3.11   0.002     .0312372    .1380607
                |
treatment#voter |
           1 1  |  -.0047563   .0466798    -0.10   0.919    -.0962756     .086763
                |
          round |
             2  |  -.0213329   .0201669    -1.06   0.290    -.0608717    .0182059
             3  |  -.0307215     .01929    -1.59   0.111     -.068541     .007098
                |
          _cons |   .4978629   .0272968    18.24   0.000     .4443455    .5513803
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,877
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4796896   .0248688    19.29   0.000     .4309324    .5284467
          2  |   .5643385   .0111138    50.78   0.000      .542549     .586128
          3  |     .47665   .0352501    13.52   0.000     .4075395    .5457604
          4  |   .5565426   .0138998    40.04   0.000      .529291    .5837942
------------------------------------------------------------------------------
(file h2b_voter_topic3.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic3.dta saved

Linear regression                               Number of obs     =      4,331
                                                F(5, 4330)        =       1.19
                                                Prob > F          =     0.3115
                                                R-squared         =     0.0014
                                                Root MSE          =     .49585

                         (Std. err. adjusted for 4,331 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0185764    .038129    -0.49   0.626    -.0933289     .056176
        1.voter |   .0258657   .0271075     0.95   0.340    -.0272788    .0790103
                |
treatment#voter |
           1 1  |   .0004132   .0415638     0.01   0.992    -.0810731    .0818995
                |
          round |
             2  |  -.0296797   .0191231    -1.55   0.121    -.0671708    .0078115
             3  |  -.0269156   .0182101    -1.48   0.139    -.0626167    .0087854
                |
          _cons |   .5702009   .0269776    21.14   0.000      .517311    .6230908
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,331
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507552   .0247399    22.26   0.000     .5022523    .5992581
          2  |   .5766209    .011076    52.06   0.000     .5549062    .5983356
          3  |   .5321787   .0290136    18.34   0.000     .4752973    .5890602
          4  |   .5584577   .0122726    45.50   0.000     .5343971    .5825182
------------------------------------------------------------------------------
(file h2b_voter_topic4.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic4.dta saved

Linear regression                               Number of obs     =      4,506
                                                F(5, 4505)        =       2.11
                                                Prob > F          =     0.0610
                                                R-squared         =     0.0022
                                                Root MSE          =      .4893

                         (Std. err. adjusted for 4,506 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0507425   .0354302     1.43   0.152     -.018718     .120203
        1.voter |  -.0329114    .026449    -1.24   0.213    -.0847645    .0189417
                |
treatment#voter |
           1 1  |  -.0495744   .0388842    -1.27   0.202    -.1258064    .0266577
                |
          round |
             2  |  -.0087858   .0184457    -0.48   0.634    -.0449485    .0273768
             3  |  -.0026802     .01766    -0.15   0.879    -.0373026    .0319421
                |
          _cons |   .6290928   .0261533    24.05   0.000     .5778194    .6803661
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,506
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6253326    .024046    26.01   0.000     .5781906    .6724746
          2  |   .5924213   .0110145    53.79   0.000     .5708274    .6140151
          3  |   .6760751   .0260227    25.98   0.000     .6250578    .7270924
          4  |   .5935894   .0116378    51.01   0.000     .5707736    .6164052
------------------------------------------------------------------------------
(file h2b_voter_topic5.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic5.dta saved

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0041
                                                Root MSE          =     .41081

                         (Std. err. adjusted for 4,472 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0302294   .0324777     0.93   0.352     -.033443    .0939017
        1.voter |   .0541189   .0236758     2.29   0.022     .0077025    .1005352
                |
treatment#voter |
           1 1  |   -.025754   .0350867    -0.73   0.463    -.0945413    .0430332
                |
          round |
             2  |   .0327532   .0158341     2.07   0.039     .0017106    .0637958
             3  |   .0466776   .0149908     3.11   0.002     .0172882    .0760669
                |
          _cons |   .7072031   .0239116    29.58   0.000     .6603246    .7540816
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .734899    .021836    33.66   0.000     .6920896    .7777084
          2  |   .7890179   .0091399    86.33   0.000     .7710992    .8069366
          3  |   .7651284   .0240339    31.84   0.000     .7180101    .8122466
          4  |   .7934932   .0096419    82.30   0.000     .7745903    .8123961
------------------------------------------------------------------------------
(file h2b_voter_topic6.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic6.dta saved

Linear regression                               Number of obs     =      4,646
                                                F(5, 4645)        =       0.42
                                                Prob > F          =     0.8374
                                                R-squared         =     0.0004
                                                Root MSE          =     .42107

                         (Std. err. adjusted for 4,646 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0104156   .0313866     0.33   0.740    -.0511171    .0719483
        1.voter |   .0045068   .0233104     0.19   0.847    -.0411927    .0502063
                |
treatment#voter |
           1 1  |   .0056753    .034156     0.17   0.868    -.0612867    .0726372
                |
          round |
             2  |   .0038601   .0155781     0.25   0.804    -.0266803    .0344006
             3  |  -.0048132   .0149961    -0.32   0.748    -.0342126    .0245863
                |
          _cons |   .7593506   .0229778    33.05   0.000     .7143033     .804398
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,646
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7587499   .0212703    35.67   0.000     .7170501    .8004497
          2  |   .7632567   .0095257    80.13   0.000     .7445818    .7819315
          3  |   .7691655   .0230656    33.35   0.000     .7239459    .8143851
          4  |   .7793476   .0094909    82.12   0.000     .7607409    .7979542
------------------------------------------------------------------------------
(file h2b_voter_topic7.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic7.dta saved

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.55
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0113
                                                Root MSE          =     .49737

                         (Std. err. adjusted for 4,540 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324745   .0365609     0.89   0.374    -.0392026    .1041516
        1.voter |   .1253283   .0268054     4.68   0.000     .0727767      .17788
                |
treatment#voter |
           1 1  |  -.0036869   .0399875    -0.09   0.927    -.0820819     .074708
                |
          round |
             2  |  -.0516338   .0187107    -2.76   0.006    -.0883158   -.0149518
             3  |  -.0490468   .0178254    -2.75   0.006    -.0839933   -.0141002
                |
          _cons |     .42707    .026464    16.14   0.000     .3751876    .4789524
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .3925251   .0243613    16.11   0.000     .3447651    .4402851
          2  |   .5178534    .011175    46.34   0.000     .4959451    .5397618
          3  |   .4249996   .0272488    15.60   0.000     .3715788    .4784204
          4  |    .546641   .0116947    46.74   0.000     .5237137    .5695683
------------------------------------------------------------------------------
(file h2b_voter_topic8.dta not found)
(Created by command margins; also see char list)
file h2b_voter_topic8.dta saved

. 
. preserve

. use "h2b_voter_topic1", clear
(Created by command margins; also see char list)

. 
. foreach n of numlist 2/8 {
  2. append using "h2b_voter_topic`n'"
  3. }
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)
(label _term already defined)
(label _atopt already defined)

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. * add a little "jitter"
. replace _at2=_at2+1
(32 real changes made)

. replace _at2=.90 if _at2==1 & _at1==0
variable _at2 was byte now float
(8 real changes made)

. replace _at2=1.90 if _at2==2 & _at1==0
(8 real changes made)

. 
. 
. replace _at2=1.1 if _at2==1 & _at1==1
(8 real changes made)

. replace _at2=2.1 if _at2==2 & _at1==1
(8 real changes made)

. 
. twoway ///
> (scatter _margin _at2 if _at1==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter _margin _at2 if _at1==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(solid)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike _ci_lb _ci_ub _at2 if _at1==1, lcolor(gray)  lwidth(medthick)), ///
> by(topic, r(1) note("") title("{bf: D}", size(large) position(11))) subtitle(,  size(medsmal
> l)) ///
> scheme(plotplain) yline(.5) legend(pos(6) col(2) title("")  order(1 2) label(1 "No DK-option
> ") label(2 "DK-option")) xlabel(1 "No" 2 "Yes", labsize(medsmall)  labcolor(gray) tlength(0.
> 5)) xtick(1 2) ylabel(0.3(.1)0.9, labsize(medsmall) labcolor(gray)) xtitle("Voter", size(med
> small) color(gray)) ytitle("Policy support", size(medsmall) color(gray)) xsize(8) 

. 
. graph export "figureE3d.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE3d.pdf saved as PDF format

. restore

. 
. 
. 
. * Figure E4a: college
. preserve

. 
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.college i.round if topic==`n', cluster(respondent_id)
  3. margins, at(college=(0 1) treatment=(0 1)) post
  4. xlincom 1._at-2._at, post
  5. 
. esttab, ci
  6. 
. mat ci`n'= r(coefs)
  7. 
. reg support i.treatment##i.college i.round if topic==`n', cluster(respondent_id)
  8. margins, at(college=(0 1) treatment=(0 1)) post
  9. xlincom 3._at-4._at, post
 10. 
. esttab, ci
 11. 
. mat cit`n'= r(coefs)
 12. 
. 
. reg support i.treatment##i.college i.round if topic==`n', cluster(respondent_id)
 13. margins, at(college=(0 1) treatment=(0 1)) post
 14. xlincom ((1._at-2._at)-(3._at-4._at)), post
 15. 
. esttab, se
 16. 
. mat did`n'= r(coefs)
 17. 
. }

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       2.74
                                                Prob > F          =     0.0178
                                                R-squared         =     0.0032
                                                Root MSE          =     .35282

                           (Std. err. adjusted for 4,533 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .029266   .0161534     1.81   0.070    -.0024026    .0609346
        1.college |   .0317356   .0148789     2.13   0.033     .0025657    .0609055
                  |
treatment#college |
             1 1  |   -.020353   .0211751    -0.96   0.337    -.0618666    .0211605
                  |
            round |
               2  |   -.008825   .0136145    -0.65   0.517    -.0355159     .017866
               3  |   .0212134   .0125005     1.70   0.090    -.0032938    .0457205
                  |
            _cons |   .8228772   .0138497    59.41   0.000     .7957249    .8500294
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8281115   .0113246    73.13   0.000     .8059098    .8503132
          2  |   .8598471   .0096497    89.11   0.000      .840929    .8787653
          3  |   .8573775    .011519    74.43   0.000     .8347946    .8799604
          4  |   .8687601    .009718    89.40   0.000     .8497081    .8878122
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0317356   .0148789    -2.13   0.033    -.0609055   -.0025657
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0317*  
                 [-0.0609,-0.00257]   
--------------------------------------
N                              4533   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       2.74
                                                Prob > F          =     0.0178
                                                R-squared         =     0.0032
                                                Root MSE          =     .35282

                           (Std. err. adjusted for 4,533 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .029266   .0161534     1.81   0.070    -.0024026    .0609346
        1.college |   .0317356   .0148789     2.13   0.033     .0025657    .0609055
                  |
treatment#college |
             1 1  |   -.020353   .0211751    -0.96   0.337    -.0618666    .0211605
                  |
            round |
               2  |   -.008825   .0136145    -0.65   0.517    -.0355159     .017866
               3  |   .0212134   .0125005     1.70   0.090    -.0032938    .0457205
                  |
            _cons |   .8228772   .0138497    59.41   0.000     .7957249    .8500294
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8281115   .0113246    73.13   0.000     .8059098    .8503132
          2  |   .8598471   .0096497    89.11   0.000      .840929    .8787653
          3  |   .8573775    .011519    74.43   0.000     .8347946    .8799604
          4  |   .8687601    .009718    89.40   0.000     .8497081    .8878122
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0113826   .0150702    -0.76   0.450    -.0409276    .0181624
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0114   
                   [-0.0409,0.0182]   
--------------------------------------
N                              4533   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       2.74
                                                Prob > F          =     0.0178
                                                R-squared         =     0.0032
                                                Root MSE          =     .35282

                           (Std. err. adjusted for 4,533 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .029266   .0161534     1.81   0.070    -.0024026    .0609346
        1.college |   .0317356   .0148789     2.13   0.033     .0025657    .0609055
                  |
treatment#college |
             1 1  |   -.020353   .0211751    -0.96   0.337    -.0618666    .0211605
                  |
            round |
               2  |   -.008825   .0136145    -0.65   0.517    -.0355159     .017866
               3  |   .0212134   .0125005     1.70   0.090    -.0032938    .0457205
                  |
            _cons |   .8228772   .0138497    59.41   0.000     .7957249    .8500294
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8281115   .0113246    73.13   0.000     .8059098    .8503132
          2  |   .8598471   .0096497    89.11   0.000      .840929    .8787653
          3  |   .8573775    .011519    74.43   0.000     .8347946    .8799604
          4  |   .8687601    .009718    89.40   0.000     .8497081    .8878122
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   -.020353   .0211751    -0.96   0.337    -.0618666    .0211605
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0204   
                 (0.0212)   
----------------------------
N                    4533   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,661
                                                F(5, 4660)        =       1.77
                                                Prob > F          =     0.1147
                                                R-squared         =     0.0019
                                                Root MSE          =     .40644

                           (Std. err. adjusted for 4,661 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .018081   .0172262     1.05   0.294    -.0156904    .0518525
        1.college |  -.0241649   .0168264    -1.44   0.151    -.0571526    .0088227
                  |
treatment#college |
             1 1  |  -.0010425   .0238459    -0.04   0.965    -.0477918    .0457068
                  |
            round |
               2  |  -.0095489   .0152052    -0.63   0.530    -.0393582    .0202604
               3  |   .0135284   .0143245     0.94   0.345    -.0145545    .0416113
                  |
            _cons |   .7936406   .0149834    52.97   0.000     .7642662    .8230151
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,661
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7956891   .0121104    65.70   0.000     .7719469    .8194313
          2  |   .7715241   .0116813    66.05   0.000     .7486233     .794425
          3  |   .8137701   .0122357    66.51   0.000     .7897824    .8377578
          4  |   .7885627   .0115895    68.04   0.000     .7658419    .8112835
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0241649   .0168264     1.44   0.151    -.0088227    .0571526
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0242   
                  [-0.00882,0.0572]   
--------------------------------------
N                              4661   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,661
                                                F(5, 4660)        =       1.77
                                                Prob > F          =     0.1147
                                                R-squared         =     0.0019
                                                Root MSE          =     .40644

                           (Std. err. adjusted for 4,661 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .018081   .0172262     1.05   0.294    -.0156904    .0518525
        1.college |  -.0241649   .0168264    -1.44   0.151    -.0571526    .0088227
                  |
treatment#college |
             1 1  |  -.0010425   .0238459    -0.04   0.965    -.0477918    .0457068
                  |
            round |
               2  |  -.0095489   .0152052    -0.63   0.530    -.0393582    .0202604
               3  |   .0135284   .0143245     0.94   0.345    -.0145545    .0416113
                  |
            _cons |   .7936406   .0149834    52.97   0.000     .7642662    .8230151
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,661
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7956891   .0121104    65.70   0.000     .7719469    .8194313
          2  |   .7715241   .0116813    66.05   0.000     .7486233     .794425
          3  |   .8137701   .0122357    66.51   0.000     .7897824    .8377578
          4  |   .7885627   .0115895    68.04   0.000     .7658419    .8112835
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0252074   .0168656     1.49   0.135    -.0078571     .058272
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0252   
                  [-0.00786,0.0583]   
--------------------------------------
N                              4661   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,661
                                                F(5, 4660)        =       1.77
                                                Prob > F          =     0.1147
                                                R-squared         =     0.0019
                                                Root MSE          =     .40644

                           (Std. err. adjusted for 4,661 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |    .018081   .0172262     1.05   0.294    -.0156904    .0518525
        1.college |  -.0241649   .0168264    -1.44   0.151    -.0571526    .0088227
                  |
treatment#college |
             1 1  |  -.0010425   .0238459    -0.04   0.965    -.0477918    .0457068
                  |
            round |
               2  |  -.0095489   .0152052    -0.63   0.530    -.0393582    .0202604
               3  |   .0135284   .0143245     0.94   0.345    -.0145545    .0416113
                  |
            _cons |   .7936406   .0149834    52.97   0.000     .7642662    .8230151
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,661
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7956891   .0121104    65.70   0.000     .7719469    .8194313
          2  |   .7715241   .0116813    66.05   0.000     .7486233     .794425
          3  |   .8137701   .0122357    66.51   0.000     .7897824    .8377578
          4  |   .7885627   .0115895    68.04   0.000     .7658419    .8112835
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0010425   .0238459    -0.04   0.965    -.0477918    .0457068
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00104   
                 (0.0238)   
----------------------------
N                    4661   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,878
                                                F(5, 3877)        =      16.20
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0206
                                                Root MSE          =     .49293

                           (Std. err. adjusted for 3,878 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0138181   .0252673    -0.55   0.584    -.0633566    .0357203
        1.college |   .1393812   .0202406     6.89   0.000     .0996981    .1790644
                  |
treatment#college |
             1 1  |     .00639   .0330919     0.19   0.847    -.0584891    .0712692
                  |
            round |
               2  |  -.0177428   .0199846    -0.89   0.375    -.0569242    .0214386
               3  |  -.0260363   .0191769    -1.36   0.175    -.0636341    .0115615
                  |
            _cons |    .489111   .0192307    25.43   0.000     .4514078    .5268142
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,878
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4738268   .0150203    31.55   0.000     .4443783    .5032752
          2  |    .613208   .0135606    45.22   0.000     .5866214    .6397946
          3  |   .4600086   .0203162    22.64   0.000     .4201771    .4998402
          4  |   .6057799   .0165085    36.70   0.000     .5734137    .6381461
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.1393812   .0202406    -6.89   0.000    -.1790644   -.0996981
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         -0.139***
                   [-0.179,-0.0997]   
--------------------------------------
N                              3878   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,878
                                                F(5, 3877)        =      16.20
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0206
                                                Root MSE          =     .49293

                           (Std. err. adjusted for 3,878 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0138181   .0252673    -0.55   0.584    -.0633566    .0357203
        1.college |   .1393812   .0202406     6.89   0.000     .0996981    .1790644
                  |
treatment#college |
             1 1  |     .00639   .0330919     0.19   0.847    -.0584891    .0712692
                  |
            round |
               2  |  -.0177428   .0199846    -0.89   0.375    -.0569242    .0214386
               3  |  -.0260363   .0191769    -1.36   0.175    -.0636341    .0115615
                  |
            _cons |    .489111   .0192307    25.43   0.000     .4514078    .5268142
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,878
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4738268   .0150203    31.55   0.000     .4443783    .5032752
          2  |    .613208   .0135606    45.22   0.000     .5866214    .6397946
          3  |   .4600086   .0203162    22.64   0.000     .4201771    .4998402
          4  |   .6057799   .0165085    36.70   0.000     .5734137    .6381461
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.1457713   .0261791    -5.57   0.000    -.1970974   -.0944451
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         -0.146***
                   [-0.197,-0.0944]   
--------------------------------------
N                              3878   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,878
                                                F(5, 3877)        =      16.20
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0206
                                                Root MSE          =     .49293

                           (Std. err. adjusted for 3,878 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0138181   .0252673    -0.55   0.584    -.0633566    .0357203
        1.college |   .1393812   .0202406     6.89   0.000     .0996981    .1790644
                  |
treatment#college |
             1 1  |     .00639   .0330919     0.19   0.847    -.0584891    .0712692
                  |
            round |
               2  |  -.0177428   .0199846    -0.89   0.375    -.0569242    .0214386
               3  |  -.0260363   .0191769    -1.36   0.175    -.0636341    .0115615
                  |
            _cons |    .489111   .0192307    25.43   0.000     .4514078    .5268142
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,878
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4738268   .0150203    31.55   0.000     .4443783    .5032752
          2  |    .613208   .0135606    45.22   0.000     .5866214    .6397946
          3  |   .4600086   .0203162    22.64   0.000     .4201771    .4998402
          4  |   .6057799   .0165085    36.70   0.000     .5734137    .6381461
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |     .00639   .0330919     0.19   0.847    -.0584891    .0712692
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              0.00639   
                 (0.0331)   
----------------------------
N                    3878   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,332
                                                F(5, 4331)        =       2.29
                                                Prob > F          =     0.0431
                                                R-squared         =     0.0026
                                                Root MSE          =     .49549

                           (Std. err. adjusted for 4,332 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0021898   .0226343    -0.10   0.923    -.0465646    .0421851
        1.college |  -.0263528   .0202672    -1.30   0.194    -.0660869    .0133812
                  |
treatment#college |
             1 1  |  -.0251841   .0304992    -0.83   0.409    -.0849783      .03461
                  |
            round |
               2  |  -.0313635   .0190921    -1.64   0.101    -.0687937    .0060667
               3  |  -.0276569   .0181986    -1.52   0.129    -.0633355    .0080217
                  |
            _cons |   .6068516   .0186951    32.46   0.000     .5701997    .6435035
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,332
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5866116   .0148183    39.59   0.000     .5575601    .6156632
          2  |   .5602588   .0138197    40.54   0.000     .5331651    .5873525
          3  |   .5844219   .0171042    34.17   0.000     .5508888     .617955
          4  |   .5328849   .0150259    35.46   0.000     .5034264    .5623435
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0263528   .0202672     1.30   0.194    -.0133812    .0660869
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0264   
                   [-0.0134,0.0661]   
--------------------------------------
N                              4332   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,332
                                                F(5, 4331)        =       2.29
                                                Prob > F          =     0.0431
                                                R-squared         =     0.0026
                                                Root MSE          =     .49549

                           (Std. err. adjusted for 4,332 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0021898   .0226343    -0.10   0.923    -.0465646    .0421851
        1.college |  -.0263528   .0202672    -1.30   0.194    -.0660869    .0133812
                  |
treatment#college |
             1 1  |  -.0251841   .0304992    -0.83   0.409    -.0849783      .03461
                  |
            round |
               2  |  -.0313635   .0190921    -1.64   0.101    -.0687937    .0060667
               3  |  -.0276569   .0181986    -1.52   0.129    -.0633355    .0080217
                  |
            _cons |   .6068516   .0186951    32.46   0.000     .5701997    .6435035
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,332
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5866116   .0148183    39.59   0.000     .5575601    .6156632
          2  |   .5602588   .0138197    40.54   0.000     .5331651    .5873525
          3  |   .5844219   .0171042    34.17   0.000     .5508888     .617955
          4  |   .5328849   .0150259    35.46   0.000     .5034264    .5623435
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .051537   .0227718     2.26   0.024     .0068925    .0961814
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0515*  
                   [0.00689,0.0962]   
--------------------------------------
N                              4332   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,332
                                                F(5, 4331)        =       2.29
                                                Prob > F          =     0.0431
                                                R-squared         =     0.0026
                                                Root MSE          =     .49549

                           (Std. err. adjusted for 4,332 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |  -.0021898   .0226343    -0.10   0.923    -.0465646    .0421851
        1.college |  -.0263528   .0202672    -1.30   0.194    -.0660869    .0133812
                  |
treatment#college |
             1 1  |  -.0251841   .0304992    -0.83   0.409    -.0849783      .03461
                  |
            round |
               2  |  -.0313635   .0190921    -1.64   0.101    -.0687937    .0060667
               3  |  -.0276569   .0181986    -1.52   0.129    -.0633355    .0080217
                  |
            _cons |   .6068516   .0186951    32.46   0.000     .5701997    .6435035
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,332
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5866116   .0148183    39.59   0.000     .5575601    .6156632
          2  |   .5602588   .0138197    40.54   0.000     .5331651    .5873525
          3  |   .5844219   .0171042    34.17   0.000     .5508888     .617955
          4  |   .5328849   .0150259    35.46   0.000     .5034264    .5623435
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0251841   .0304992    -0.83   0.409    -.0849783      .03461
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0252   
                 (0.0305)   
----------------------------
N                    4332   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,507
                                                F(5, 4506)        =       0.27
                                                Prob > F          =     0.9294
                                                R-squared         =     0.0003
                                                Root MSE          =     .48984

                           (Std. err. adjusted for 4,507 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0094145   .0216771     0.43   0.664    -.0330834    .0519123
        1.college |  -.0122494   .0200978    -0.61   0.542     -.051651    .0271522
                  |
treatment#college |
             1 1  |  -.0020841   .0293761    -0.07   0.943    -.0596757    .0555076
                  |
            round |
               2  |  -.0087763   .0184712    -0.48   0.635    -.0449889    .0274363
               3  |  -.0027089   .0176817    -0.15   0.878    -.0373738     .031956
                  |
            _cons |   .6081088   .0184478    32.96   0.000      .571942    .6442757
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,507
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .604341   .0147113    41.08   0.000     .5754996    .6331824
          2  |   .5920916   .0136827    43.27   0.000     .5652669    .6189164
          3  |   .6137555   .0159154    38.56   0.000     .5825534    .6449576
          4  |    .599422   .0143319    41.82   0.000     .5713244    .6275197
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0122494   .0200978     0.61   0.542    -.0271522     .051651
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0122   
                   [-0.0272,0.0517]   
--------------------------------------
N                              4507   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,507
                                                F(5, 4506)        =       0.27
                                                Prob > F          =     0.9294
                                                R-squared         =     0.0003
                                                Root MSE          =     .48984

                           (Std. err. adjusted for 4,507 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0094145   .0216771     0.43   0.664    -.0330834    .0519123
        1.college |  -.0122494   .0200978    -0.61   0.542     -.051651    .0271522
                  |
treatment#college |
             1 1  |  -.0020841   .0293761    -0.07   0.943    -.0596757    .0555076
                  |
            round |
               2  |  -.0087763   .0184712    -0.48   0.635    -.0449889    .0274363
               3  |  -.0027089   .0176817    -0.15   0.878    -.0373738     .031956
                  |
            _cons |   .6081088   .0184478    32.96   0.000      .571942    .6442757
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,507
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .604341   .0147113    41.08   0.000     .5754996    .6331824
          2  |   .5920916   .0136827    43.27   0.000     .5652669    .6189164
          3  |   .6137555   .0159154    38.56   0.000     .5825534    .6449576
          4  |    .599422   .0143319    41.82   0.000     .5713244    .6275197
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0143334   .0214167     0.67   0.503    -.0276538    .0563207
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0143   
                   [-0.0277,0.0563]   
--------------------------------------
N                              4507   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,507
                                                F(5, 4506)        =       0.27
                                                Prob > F          =     0.9294
                                                R-squared         =     0.0003
                                                Root MSE          =     .48984

                           (Std. err. adjusted for 4,507 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0094145   .0216771     0.43   0.664    -.0330834    .0519123
        1.college |  -.0122494   .0200978    -0.61   0.542     -.051651    .0271522
                  |
treatment#college |
             1 1  |  -.0020841   .0293761    -0.07   0.943    -.0596757    .0555076
                  |
            round |
               2  |  -.0087763   .0184712    -0.48   0.635    -.0449889    .0274363
               3  |  -.0027089   .0176817    -0.15   0.878    -.0373738     .031956
                  |
            _cons |   .6081088   .0184478    32.96   0.000      .571942    .6442757
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,507
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .604341   .0147113    41.08   0.000     .5754996    .6331824
          2  |   .5920916   .0136827    43.27   0.000     .5652669    .6189164
          3  |   .6137555   .0159154    38.56   0.000     .5825534    .6449576
          4  |    .599422   .0143319    41.82   0.000     .5713244    .6275197
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0020841   .0293761    -0.07   0.943    -.0596757    .0555076
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00208   
                 (0.0294)   
----------------------------
N                    4507   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       5.91
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0067
                                                Root MSE          =     .41011

                           (Std. err. adjusted for 4,472 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0192935   .0190927     1.01   0.312    -.0181376    .0567246
        1.college |   .0622695   .0170318     3.66   0.000     .0288786    .0956603
                  |
treatment#college |
             1 1  |  -.0190462   .0249077    -0.76   0.445    -.0678776    .0297853
                  |
            round |
               2  |   .0335131   .0158293     2.12   0.034     .0024799    .0645463
               3  |   .0469938   .0149693     3.14   0.002     .0176465     .076341
                  |
            _cons |   .7184136    .016389    43.84   0.000     .6862831     .750544
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7464499   .0130548    57.18   0.000     .7208561    .7720438
          2  |   .8087194   .0109389    73.93   0.000     .7872738     .830165
          3  |   .7657435    .013925    54.99   0.000     .7384437    .7930433
          4  |   .8089668   .0116229    69.60   0.000     .7861802    .8317534
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0622695   .0170318    -3.66   0.000    -.0956603   -.0288786
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0623***
                  [-0.0957,-0.0289]   
--------------------------------------
N                              4472   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       5.91
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0067
                                                Root MSE          =     .41011

                           (Std. err. adjusted for 4,472 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0192935   .0190927     1.01   0.312    -.0181376    .0567246
        1.college |   .0622695   .0170318     3.66   0.000     .0288786    .0956603
                  |
treatment#college |
             1 1  |  -.0190462   .0249077    -0.76   0.445    -.0678776    .0297853
                  |
            round |
               2  |   .0335131   .0158293     2.12   0.034     .0024799    .0645463
               3  |   .0469938   .0149693     3.14   0.002     .0176465     .076341
                  |
            _cons |   .7184136    .016389    43.84   0.000     .6862831     .750544
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7464499   .0130548    57.18   0.000     .7208561    .7720438
          2  |   .8087194   .0109389    73.93   0.000     .7872738     .830165
          3  |   .7657435    .013925    54.99   0.000     .7384437    .7930433
          4  |   .8089668   .0116229    69.60   0.000     .7861802    .8317534
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0432233   .0181527    -2.38   0.017    -.0788115   -.0076351
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0432*  
                 [-0.0788,-0.00764]   
--------------------------------------
N                              4472   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       5.91
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0067
                                                Root MSE          =     .41011

                           (Std. err. adjusted for 4,472 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0192935   .0190927     1.01   0.312    -.0181376    .0567246
        1.college |   .0622695   .0170318     3.66   0.000     .0288786    .0956603
                  |
treatment#college |
             1 1  |  -.0190462   .0249077    -0.76   0.445    -.0678776    .0297853
                  |
            round |
               2  |   .0335131   .0158293     2.12   0.034     .0024799    .0645463
               3  |   .0469938   .0149693     3.14   0.002     .0176465     .076341
                  |
            _cons |   .7184136    .016389    43.84   0.000     .6862831     .750544
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7464499   .0130548    57.18   0.000     .7208561    .7720438
          2  |   .8087194   .0109389    73.93   0.000     .7872738     .830165
          3  |   .7657435    .013925    54.99   0.000     .7384437    .7930433
          4  |   .8089668   .0116229    69.60   0.000     .7861802    .8317534
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0190462   .0249077    -0.76   0.445    -.0678776    .0297853
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0190   
                 (0.0249)   
----------------------------
N                    4472   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,648
                                                F(5, 4647)        =       1.51
                                                Prob > F          =     0.1829
                                                R-squared         =     0.0017
                                                Root MSE          =     .42088

                           (Std. err. adjusted for 4,648 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0291962   .0188055     1.55   0.121    -.0076714    .0660639
        1.college |   .0395418   .0175024     2.26   0.024     .0052287    .0738549
                  |
treatment#college |
             1 1  |  -.0254837   .0249599    -1.02   0.307     -.074417    .0234496
                  |
            round |
               2  |   .0040644   .0155503     0.26   0.794    -.0264215    .0345504
               3  |  -.0051949   .0149931    -0.35   0.729    -.0345884    .0241987
                  |
            _cons |   .7415395   .0160389    46.23   0.000     .7100956    .7729833
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,648
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7408627   .0131802    56.21   0.000     .7150233    .7667021
          2  |   .7804045   .0115144    67.78   0.000     .7578308    .8029781
          3  |   .7700589   .0134004    57.47   0.000     .7437878      .79633
          4  |   .7841171   .0116226    67.46   0.000     .7613313    .8069028
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0395418   .0175024    -2.26   0.024    -.0738549   -.0052287
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0395*  
                 [-0.0739,-0.00523]   
--------------------------------------
N                              4648   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,648
                                                F(5, 4647)        =       1.51
                                                Prob > F          =     0.1829
                                                R-squared         =     0.0017
                                                Root MSE          =     .42088

                           (Std. err. adjusted for 4,648 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0291962   .0188055     1.55   0.121    -.0076714    .0660639
        1.college |   .0395418   .0175024     2.26   0.024     .0052287    .0738549
                  |
treatment#college |
             1 1  |  -.0254837   .0249599    -1.02   0.307     -.074417    .0234496
                  |
            round |
               2  |   .0040644   .0155503     0.26   0.794    -.0264215    .0345504
               3  |  -.0051949   .0149931    -0.35   0.729    -.0345884    .0241987
                  |
            _cons |   .7415395   .0160389    46.23   0.000     .7100956    .7729833
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,648
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7408627   .0131802    56.21   0.000     .7150233    .7667021
          2  |   .7804045   .0115144    67.78   0.000     .7578308    .8029781
          3  |   .7700589   .0134004    57.47   0.000     .7437878      .79633
          4  |   .7841171   .0116226    67.46   0.000     .7613313    .8069028
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0140581   .0177589    -0.79   0.429     -.048874    .0207577
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0141   
                   [-0.0489,0.0208]   
--------------------------------------
N                              4648   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,648
                                                F(5, 4647)        =       1.51
                                                Prob > F          =     0.1829
                                                R-squared         =     0.0017
                                                Root MSE          =     .42088

                           (Std. err. adjusted for 4,648 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0291962   .0188055     1.55   0.121    -.0076714    .0660639
        1.college |   .0395418   .0175024     2.26   0.024     .0052287    .0738549
                  |
treatment#college |
             1 1  |  -.0254837   .0249599    -1.02   0.307     -.074417    .0234496
                  |
            round |
               2  |   .0040644   .0155503     0.26   0.794    -.0264215    .0345504
               3  |  -.0051949   .0149931    -0.35   0.729    -.0345884    .0241987
                  |
            _cons |   .7415395   .0160389    46.23   0.000     .7100956    .7729833
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,648
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7408627   .0131802    56.21   0.000     .7150233    .7667021
          2  |   .7804045   .0115144    67.78   0.000     .7578308    .8029781
          3  |   .7700589   .0134004    57.47   0.000     .7437878      .79633
          4  |   .7841171   .0116226    67.46   0.000     .7613313    .8069028
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0254837   .0249599    -1.02   0.307     -.074417    .0234496
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0255   
                 (0.0250)   
----------------------------
N                    4648   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.95
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0118
                                                Root MSE          =     .49723

                           (Std. err. adjusted for 4,540 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0148906   .0220982     0.67   0.500    -.0284327    .0582138
        1.college |   .0814964   .0204047     3.99   0.000     .0414932    .1214996
                  |
treatment#college |
             1 1  |   .0251871   .0297543     0.85   0.397    -.0331458      .08352
                  |
            round |
               2  |  -.0490139   .0187004    -2.62   0.009    -.0856758   -.0123521
               3  |  -.0469062   .0178249    -2.63   0.009    -.0818518   -.0119607
                  |
            _cons |   .4866975   .0186942    26.03   0.000     .4500477    .5233472
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4537843   .0149615    30.33   0.000     .4244526     .483116
          2  |   .5352807   .0138647    38.61   0.000     .5080991    .5624624
          3  |   .4686749   .0162589    28.83   0.000     .4367994    .5005503
          4  |   .5753584    .014282    40.29   0.000     .5473586    .6033582
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0814964   .0204047    -3.99   0.000    -.1214996   -.0414932
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0815***
                   [-0.121,-0.0415]   
--------------------------------------
N                              4540   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.95
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0118
                                                Root MSE          =     .49723

                           (Std. err. adjusted for 4,540 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0148906   .0220982     0.67   0.500    -.0284327    .0582138
        1.college |   .0814964   .0204047     3.99   0.000     .0414932    .1214996
                  |
treatment#college |
             1 1  |   .0251871   .0297543     0.85   0.397    -.0331458      .08352
                  |
            round |
               2  |  -.0490139   .0187004    -2.62   0.009    -.0856758   -.0123521
               3  |  -.0469062   .0178249    -2.63   0.009    -.0818518   -.0119607
                  |
            _cons |   .4866975   .0186942    26.03   0.000     .4500477    .5233472
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4537843   .0149615    30.33   0.000     .4244526     .483116
          2  |   .5352807   .0138647    38.61   0.000     .5080991    .5624624
          3  |   .4686749   .0162589    28.83   0.000     .4367994    .5005503
          4  |   .5753584    .014282    40.29   0.000     .5473586    .6033582
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.1066835   .0216448    -4.93   0.000    -.1491179   -.0642492
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         -0.107***
                   [-0.149,-0.0642]   
--------------------------------------
N                              4540   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.95
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0118
                                                Root MSE          =     .49723

                           (Std. err. adjusted for 4,540 clusters in respondent_id)
-----------------------------------------------------------------------------------
                  |               Robust
          support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
------------------+----------------------------------------------------------------
      1.treatment |   .0148906   .0220982     0.67   0.500    -.0284327    .0582138
        1.college |   .0814964   .0204047     3.99   0.000     .0414932    .1214996
                  |
treatment#college |
             1 1  |   .0251871   .0297543     0.85   0.397    -.0331458      .08352
                  |
            round |
               2  |  -.0490139   .0187004    -2.62   0.009    -.0856758   -.0123521
               3  |  -.0469062   .0178249    -2.63   0.009    -.0818518   -.0119607
                  |
            _cons |   .4866975   .0186942    26.03   0.000     .4500477    .5233472
-----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       college   = 0
2._at: treatment = 0
       college   = 1
3._at: treatment = 1
       college   = 0
4._at: treatment = 1
       college   = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4537843   .0149615    30.33   0.000     .4244526     .483116
          2  |   .5352807   .0138647    38.61   0.000     .5080991    .5624624
          3  |   .4686749   .0162589    28.83   0.000     .4367994    .5005503
          4  |   .5753584    .014282    40.29   0.000     .5473586    .6033582
------------------------------------------------------------------------------

        lc_1:  (1._at-2._at)-(3._at-4._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0251871   .0297543     0.85   0.397    -.0331458      .08352
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0252   
                 (0.0298)   
----------------------------
N                    4540   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

. mat ci = ci1\ci2\ci3\ci4\ci5\ci6\ci7\ci8\cit1\cit2\cit3\cit4\cit5\cit6\cit7\cit8

. 
. mat list ci

ci[16,4]
          active:     active:     active:     active:
               b        ci_l        ci_u           p
lc_1   -.0317356  -.06090549   -.0025657   .03298435
lc_1   .02416494   -.0088227   .05715259     .151031
lc_1  -.13938124  -.17906441  -.09969808   6.655e-12
lc_1   .02635283  -.01338124    .0660869   .19357747
lc_1   .01224938  -.02715219   .05165095   .54223152
lc_1  -.06226947   -.0956603  -.02887864   .00025906
lc_1   -.0395418  -.07385491  -.00522869   .02391613
lc_1  -.08149642  -.12149964  -.04149319     .000066
lc_1  -.01138259  -.04092763   .01816244   .45010683
lc_1   .02520744   -.0078571   .05827198   .13508459
lc_1  -.14577129  -.19709745  -.09444512   2.748e-08
lc_1   .05153697   .00689254   .09618139   .02367325
lc_1   .01433345  -.02765382   .05632072    .5033611
lc_1  -.04322329  -.07881152  -.00763507   .01730277
lc_1  -.01405812  -.04887399   .02075774   .42862841
lc_1  -.10668354  -.14911787   -.0642492   8.567e-07

. 
. sort respondent_id topic

. 
. keep in 1/16
(38,464 observations deleted)

. 
. keep topic topic2

. 
. g treatment=0 

. replace treatment=1 in 9/16
(8 real changes made)

. 
. svmat double ci, name(temp)

. ren temp1 margin

. ren temp2 lb

. ren temp3 ub

. drop temp4

. 
. mat did = did1\did2\did3\did4\did5\did6\did7\did8

. 
. mat list did

did[8,3]
          active:     active:     active:
               b          se           p
lc_1    -.020353   .02117511   .33651515
lc_1   -.0010425    .0238459    .9651309
lc_1   .00639004   .03309189   .84689077
lc_1  -.02518414   .03049924   .40900277
lc_1  -.00208406   .02937613   .94344534
lc_1  -.01904618   .02490771   .44450842
lc_1  -.02548368   .02495993   .30731541
lc_1   .02518712    .0297543   .39731655

. 
. svmat double did, name(temp)

. ren temp1 did_est

. ren temp2 did_se

. ren temp3 did_p

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. sort topic treatment

. g hline=ub+0.03 if treatment==1
(8 missing values generated)

. replace hline=hline[_n+1] if hline==.
(8 real changes made)

. 
. g temp=ub+0.03 if treatment==0
(8 missing values generated)

. replace temp=temp[_n-1] if temp==.
(8 real changes made)

. 
. replace hline=temp if topic==2 | topic==3 | topic==8
(6 real changes made)

. 
. drop temp 

. 
. g dropl=hline

. replace dropl=hline+0.0012 if treatment==0
(8 real changes made)

. replace dropl=hline-0.01 if treatment==1
(8 real changes made)

. 
. ** labels
. * slope coefficient
. su did_est if treatment==0 & topic==1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    -.020353           .   -.020353   -.020353

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
-.02

. g dydx_t="`margin_3f'" if treatment==0 & topic==1
(15 missing values generated)

. 
. foreach n of numlist 2/8 {
  2.         su did_est if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace dydx_t="`margin_3f'" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0010425           .  -.0010425  -.0010425
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1      .00639           .     .00639     .00639
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0251841           .  -.0251841  -.0251841
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0020841           .  -.0020841  -.0020841
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0190462           .  -.0190462  -.0190462
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0254837           .  -.0254837  -.0254837
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0251871           .   .0251871   .0251871
(1 real change made)

. 
. 
. * se
. su did_se if treatment==0 & topic== 1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0211751           .   .0211751   .0211751

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
.021

. g se_t="(`margin_3f')" if treatment==0 & topic==1
(15 missing values generated)

. 
. 
. foreach n of numlist 2/8 {
  2.         su did_se if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace se_t="(`margin_3f')" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0238459           .   .0238459   .0238459
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0330919           .   .0330919   .0330919
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0304992           .   .0304992   .0304992
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0293761           .   .0293761   .0293761
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0249077           .   .0249077   .0249077
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0249599           .   .0249599   .0249599
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0297543           .   .0297543   .0297543
(1 real change made)

. 
. replace se_t = subinstr(se_t, " ", "", .)
(8 real changes made)

. 
. g lab_t=dydx_t+" "+se_t

. 
. replace dydx_t=dydx_t+"*" if did_p<0.05
(0 real changes made)

. replace dydx_t=dydx_t+"+" if did_p<0.1 & did_p>0.05
(0 real changes made)

. 
. g z=0

. g o=1

. g x=0.08

. g x2=0.14

. g y_h=hline+0.04

. g y_h2=hline+0.02

. 
. twoway ///
> (scatter margin treatment if treatment==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter margin treatment if treatment==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(sol
> id)) ///
> (rspike lb ub treatment if treatment==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike lb ub treatment if treatment==1, lcolor(gray)  lwidth(medthick)) ///
>  (line  hline treatment ,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl z,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl o,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (scatter y_h x2, ms(none) mla(dydx_t) mlabcolor(black) mlabsize(medsmall)) ///
>  (scatter y_h2 x, ms(none) mla(se_t) mlabcolor(black) mlabsize(medsmall)), ///
> by(topic, r(1) legend(off) note("") title("A: College degree", size(large) position(11))) su
> btitle(,  size(medsmall)) ///
> scheme(plotplain) yline(.5) xtick(0 1) xscale(r(-0.2 1.2)) xlabel(0 "Control" 1 "Treat.", la
> bsize(medsmall)  labcolor(gray) tlength(0.5)) ylabel(-0.3(.1)0.3, labsize(medsmall) labcolor
> (gray) format(%3.1f)) xtitle("", size(medsmall) color(gray)) ytitle("", size(medsmall) color
> (gray)) xsize(8)

. 
. 
. graph export "figureE4a.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE4a.pdf saved as PDF format

. restore

. 
. 
. 
. * Figure E4b: income
. 
. preserve

. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.inc3 i.round if topic==`n', cluster(respondent_id)
  3. margins, at(inc3=(1 2 3) treatment=(0 1)) post
  4. xlincom 1._at-3._at, post
  5. 
. esttab, ci
  6. 
. mat ci`n'= r(coefs)
  7. 
. reg support i.treatment##i.inc3 i.round if topic==`n', cluster(respondent_id)
  8. margins, at(inc3=(1 2 3) treatment=(0 1)) post
  9. xlincom 4._at-6._at, post
 10. 
. esttab, ci
 11. 
. mat cit`n'= r(coefs)
 12. 
. 
. reg support i.treatment##i.inc3 i.round if topic==`n', cluster(respondent_id)
 13. margins, at(inc3=(1 2 3) treatment=(0 1)) post
 14. xlincom ((4._at-6._at)-(1._at-3._at)), post
 15. 
. esttab, se
 16. 
. mat did`n'= r(coefs)
 17. 
. }

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       1.63
                                                Prob > F          =     0.1217
                                                R-squared         =     0.0025
                                                Root MSE          =     .35279

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0125283   .0185642     0.67   0.500    -.0238668    .0489235
                   |
          inc3_cat |
                2  |  -.0269133   .0184147    -1.46   0.144    -.0630153    .0091886
                3  |  -.0202393   .0179056    -1.13   0.258    -.0553432    .0148646
                   |
treatment#inc3_cat |
              1 2  |   .0038759    .026302     0.15   0.883    -.0476892     .055441
              1 3  |   .0045058   .0256784     0.18   0.861    -.0458366    .0548482
                   |
             round |
                2  |  -.0076365    .013764    -0.55   0.579    -.0346207    .0193477
                3  |   .0209114    .012663     1.65   0.099    -.0039144    .0457373
                   |
             _cons |   .8579242   .0150952    56.83   0.000       .82833    .8875184
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .863418   .0128931    66.97   0.000     .8381411    .8886949
          2  |   .8365046   .0131392    63.66   0.000     .8107453    .8622639
          3  |   .8431787   .0124201    67.89   0.000     .8188292    .8675282
          4  |   .8759463   .0133654    65.54   0.000     .8497434    .9021492
          5  |   .8529089   .0132085    64.57   0.000     .8270136    .8788042
          6  |   .8602128   .0126582    67.96   0.000     .8353964    .8850292
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0202393   .0179056     1.13   0.258    -.0148646    .0553432
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0202   
                   [-0.0149,0.0553]   
--------------------------------------
N                              4444   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       1.63
                                                Prob > F          =     0.1217
                                                R-squared         =     0.0025
                                                Root MSE          =     .35279

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0125283   .0185642     0.67   0.500    -.0238668    .0489235
                   |
          inc3_cat |
                2  |  -.0269133   .0184147    -1.46   0.144    -.0630153    .0091886
                3  |  -.0202393   .0179056    -1.13   0.258    -.0553432    .0148646
                   |
treatment#inc3_cat |
              1 2  |   .0038759    .026302     0.15   0.883    -.0476892     .055441
              1 3  |   .0045058   .0256784     0.18   0.861    -.0458366    .0548482
                   |
             round |
                2  |  -.0076365    .013764    -0.55   0.579    -.0346207    .0193477
                3  |   .0209114    .012663     1.65   0.099    -.0039144    .0457373
                   |
             _cons |   .8579242   .0150952    56.83   0.000       .82833    .8875184
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .863418   .0128931    66.97   0.000     .8381411    .8886949
          2  |   .8365046   .0131392    63.66   0.000     .8107453    .8622639
          3  |   .8431787   .0124201    67.89   0.000     .8188292    .8675282
          4  |   .8759463   .0133654    65.54   0.000     .8497434    .9021492
          5  |   .8529089   .0132085    64.57   0.000     .8270136    .8788042
          6  |   .8602128   .0126582    67.96   0.000     .8353964    .8850292
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0157335   .0184242     0.85   0.393    -.0203871    .0518541
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0157   
                   [-0.0204,0.0519]   
--------------------------------------
N                              4444   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       1.63
                                                Prob > F          =     0.1217
                                                R-squared         =     0.0025
                                                Root MSE          =     .35279

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0125283   .0185642     0.67   0.500    -.0238668    .0489235
                   |
          inc3_cat |
                2  |  -.0269133   .0184147    -1.46   0.144    -.0630153    .0091886
                3  |  -.0202393   .0179056    -1.13   0.258    -.0553432    .0148646
                   |
treatment#inc3_cat |
              1 2  |   .0038759    .026302     0.15   0.883    -.0476892     .055441
              1 3  |   .0045058   .0256784     0.18   0.861    -.0458366    .0548482
                   |
             round |
                2  |  -.0076365    .013764    -0.55   0.579    -.0346207    .0193477
                3  |   .0209114    .012663     1.65   0.099    -.0039144    .0457373
                   |
             _cons |   .8579242   .0150952    56.83   0.000       .82833    .8875184
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .863418   .0128931    66.97   0.000     .8381411    .8886949
          2  |   .8365046   .0131392    63.66   0.000     .8107453    .8622639
          3  |   .8431787   .0124201    67.89   0.000     .8188292    .8675282
          4  |   .8759463   .0133654    65.54   0.000     .8497434    .9021492
          5  |   .8529089   .0132085    64.57   0.000     .8270136    .8788042
          6  |   .8602128   .0126582    67.96   0.000     .8353964    .8850292
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0045058   .0256784    -0.18   0.861    -.0548482    .0458366
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00451   
                 (0.0257)   
----------------------------
N                    4444   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,555
                                                F(7, 4554)        =       5.44
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0080
                                                Root MSE          =     .40578

                            (Std. err. adjusted for 4,555 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0237879     .02008     1.18   0.236    -.0155788    .0631545
                   |
          inc3_cat |
                2  |  -.0401943   .0205915    -1.95   0.051    -.0805635    .0001749
                3  |  -.0695934   .0206209    -3.37   0.001    -.1100203   -.0291665
                   |
treatment#inc3_cat |
              1 2  |   .0048197   .0286977     0.17   0.867    -.0514417    .0610811
              1 3  |   -.026177   .0294525    -0.89   0.374    -.0839182    .0315641
                   |
             round |
                2  |    -.00672   .0153972    -0.44   0.663    -.0369059    .0234659
                3  |   .0195438   .0144774     1.35   0.177    -.0088389    .0479264
                   |
             _cons |   .8157534   .0167667    48.65   0.000     .7828826    .8486242
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,555
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8209479   .0143976    57.02   0.000     .7927216    .8491742
          2  |   .7807536   .0147245    53.02   0.000     .7518865    .8096208
          3  |   .7513545    .014756    50.92   0.000     .7224257    .7802834
          4  |   .8447358   .0139981    60.35   0.000     .8172926    .8721789
          5  |   .8093612   .0142888    56.64   0.000     .7813482    .8373742
          6  |   .7489654   .0156886    47.74   0.000     .7182081    .7797227
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0695934   .0206209     3.37   0.001     .0291665    .1100203
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0696***
                     [0.0292,0.110]   
--------------------------------------
N                              4555   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,555
                                                F(7, 4554)        =       5.44
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0080
                                                Root MSE          =     .40578

                            (Std. err. adjusted for 4,555 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0237879     .02008     1.18   0.236    -.0155788    .0631545
                   |
          inc3_cat |
                2  |  -.0401943   .0205915    -1.95   0.051    -.0805635    .0001749
                3  |  -.0695934   .0206209    -3.37   0.001    -.1100203   -.0291665
                   |
treatment#inc3_cat |
              1 2  |   .0048197   .0286977     0.17   0.867    -.0514417    .0610811
              1 3  |   -.026177   .0294525    -0.89   0.374    -.0839182    .0315641
                   |
             round |
                2  |    -.00672   .0153972    -0.44   0.663    -.0369059    .0234659
                3  |   .0195438   .0144774     1.35   0.177    -.0088389    .0479264
                   |
             _cons |   .8157534   .0167667    48.65   0.000     .7828826    .8486242
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,555
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8209479   .0143976    57.02   0.000     .7927216    .8491742
          2  |   .7807536   .0147245    53.02   0.000     .7518865    .8096208
          3  |   .7513545    .014756    50.92   0.000     .7224257    .7802834
          4  |   .8447358   .0139981    60.35   0.000     .8172926    .8721789
          5  |   .8093612   .0142888    56.64   0.000     .7813482    .8373742
          6  |   .7489654   .0156886    47.74   0.000     .7182081    .7797227
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0957704   .0210442     4.55   0.000     .0545136    .1370272
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0958***
                     [0.0545,0.137]   
--------------------------------------
N                              4555   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,555
                                                F(7, 4554)        =       5.44
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0080
                                                Root MSE          =     .40578

                            (Std. err. adjusted for 4,555 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0237879     .02008     1.18   0.236    -.0155788    .0631545
                   |
          inc3_cat |
                2  |  -.0401943   .0205915    -1.95   0.051    -.0805635    .0001749
                3  |  -.0695934   .0206209    -3.37   0.001    -.1100203   -.0291665
                   |
treatment#inc3_cat |
              1 2  |   .0048197   .0286977     0.17   0.867    -.0514417    .0610811
              1 3  |   -.026177   .0294525    -0.89   0.374    -.0839182    .0315641
                   |
             round |
                2  |    -.00672   .0153972    -0.44   0.663    -.0369059    .0234659
                3  |   .0195438   .0144774     1.35   0.177    -.0088389    .0479264
                   |
             _cons |   .8157534   .0167667    48.65   0.000     .7828826    .8486242
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,555
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8209479   .0143976    57.02   0.000     .7927216    .8491742
          2  |   .7807536   .0147245    53.02   0.000     .7518865    .8096208
          3  |   .7513545    .014756    50.92   0.000     .7224257    .7802834
          4  |   .8447358   .0139981    60.35   0.000     .8172926    .8721789
          5  |   .8093612   .0142888    56.64   0.000     .7813482    .8373742
          6  |   .7489654   .0156886    47.74   0.000     .7182081    .7797227
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .026177   .0294525     0.89   0.374    -.0315641    .0839182
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0262   
                 (0.0295)   
----------------------------
N                    4555   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,805
                                                F(7, 3804)        =       1.15
                                                Prob > F          =     0.3294
                                                R-squared         =     0.0021
                                                Root MSE          =     .49761

                            (Std. err. adjusted for 3,805 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0279366   .0307955     0.91   0.364    -.0324407    .0883139
                   |
          inc3_cat |
                2  |  -.0141002   .0258197    -0.55   0.585    -.0647219    .0365215
                3  |   .0229966   .0252643     0.91   0.363    -.0265363    .0725294
                   |
treatment#inc3_cat |
              1 2  |   -.045674   .0422086    -1.08   0.279    -.1284278    .0370797
              1 3  |  -.0315277   .0409709    -0.77   0.442    -.1118549    .0487994
                   |
             round |
                2  |  -.0158792   .0203862    -0.78   0.436    -.0558481    .0240896
                3  |  -.0265817   .0195392    -1.36   0.174      -.06489    .0117267
                   |
             _cons |   .5595932   .0220355    25.40   0.000     .5163907    .6027958
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,805
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5446873   .0187375    29.07   0.000     .5079507    .5814238
          2  |   .5305871   .0177617    29.87   0.000     .4957637    .5654104
          3  |   .5676839   .0169401    33.51   0.000     .5344713    .6008964
          4  |   .5726239    .024446    23.42   0.000     .5246953    .6205524
          5  |   .5128496   .0227523    22.54   0.000     .4682418    .5574574
          6  |   .5640927   .0210635    26.78   0.000     .5227958    .6053896
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0229966   .0252643    -0.91   0.363    -.0725294    .0265363
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0230   
                   [-0.0725,0.0265]   
--------------------------------------
N                              3805   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,805
                                                F(7, 3804)        =       1.15
                                                Prob > F          =     0.3294
                                                R-squared         =     0.0021
                                                Root MSE          =     .49761

                            (Std. err. adjusted for 3,805 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0279366   .0307955     0.91   0.364    -.0324407    .0883139
                   |
          inc3_cat |
                2  |  -.0141002   .0258197    -0.55   0.585    -.0647219    .0365215
                3  |   .0229966   .0252643     0.91   0.363    -.0265363    .0725294
                   |
treatment#inc3_cat |
              1 2  |   -.045674   .0422086    -1.08   0.279    -.1284278    .0370797
              1 3  |  -.0315277   .0409709    -0.77   0.442    -.1118549    .0487994
                   |
             round |
                2  |  -.0158792   .0203862    -0.78   0.436    -.0558481    .0240896
                3  |  -.0265817   .0195392    -1.36   0.174      -.06489    .0117267
                   |
             _cons |   .5595932   .0220355    25.40   0.000     .5163907    .6027958
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,805
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5446873   .0187375    29.07   0.000     .5079507    .5814238
          2  |   .5305871   .0177617    29.87   0.000     .4957637    .5654104
          3  |   .5676839   .0169401    33.51   0.000     .5344713    .6008964
          4  |   .5726239    .024446    23.42   0.000     .5246953    .6205524
          5  |   .5128496   .0227523    22.54   0.000     .4682418    .5574574
          6  |   .5640927   .0210635    26.78   0.000     .5227958    .6053896
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0085312   .0322754     0.26   0.792    -.0547476    .0718099
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        0.00853   
                   [-0.0547,0.0718]   
--------------------------------------
N                              3805   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,805
                                                F(7, 3804)        =       1.15
                                                Prob > F          =     0.3294
                                                R-squared         =     0.0021
                                                Root MSE          =     .49761

                            (Std. err. adjusted for 3,805 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0279366   .0307955     0.91   0.364    -.0324407    .0883139
                   |
          inc3_cat |
                2  |  -.0141002   .0258197    -0.55   0.585    -.0647219    .0365215
                3  |   .0229966   .0252643     0.91   0.363    -.0265363    .0725294
                   |
treatment#inc3_cat |
              1 2  |   -.045674   .0422086    -1.08   0.279    -.1284278    .0370797
              1 3  |  -.0315277   .0409709    -0.77   0.442    -.1118549    .0487994
                   |
             round |
                2  |  -.0158792   .0203862    -0.78   0.436    -.0558481    .0240896
                3  |  -.0265817   .0195392    -1.36   0.174      -.06489    .0117267
                   |
             _cons |   .5595932   .0220355    25.40   0.000     .5163907    .6027958
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,805
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5446873   .0187375    29.07   0.000     .5079507    .5814238
          2  |   .5305871   .0177617    29.87   0.000     .4957637    .5654104
          3  |   .5676839   .0169401    33.51   0.000     .5344713    .6008964
          4  |   .5726239    .024446    23.42   0.000     .5246953    .6205524
          5  |   .5128496   .0227523    22.54   0.000     .4682418    .5574574
          6  |   .5640927   .0210635    26.78   0.000     .5227958    .6053896
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0315277   .0409709     0.77   0.442    -.0487994    .1118549
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0315   
                 (0.0410)   
----------------------------
N                    3805   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,246
                                                F(7, 4245)        =      10.89
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0174
                                                Root MSE          =     .49206

                            (Std. err. adjusted for 4,246 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |  -.0130228   .0271897    -0.48   0.632    -.0663289    .0402833
                   |
          inc3_cat |
                2  |  -.0743882   .0251296    -2.96   0.003    -.1236553   -.0251211
                3  |  -.1561101   .0247637    -6.30   0.000      -.20466   -.1075603
                   |
treatment#inc3_cat |
              1 2  |   .0023877   .0378604     0.06   0.950    -.0718385    .0766139
              1 3  |  -.0016424   .0372901    -0.04   0.965    -.0747506    .0714657
                   |
             round |
                2  |  -.0251904   .0191697    -1.31   0.189    -.0627731    .0123923
                3  |  -.0180502   .0182913    -0.99   0.324    -.0539106    .0178102
                   |
             _cons |   .6662977   .0209887    31.75   0.000     .6251489    .7074465
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,246
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6516112   .0179413    36.32   0.000     .6164369    .6867854
          2  |    .577223   .0175956    32.80   0.000     .5427264    .6117196
          3  |    .495501   .0170678    29.03   0.000     .4620392    .5289629
          4  |   .6385884   .0204493    31.23   0.000      .598497    .6786798
          5  |   .5665879    .019609    28.89   0.000     .5281441    .6050317
          6  |   .4808358   .0189544    25.37   0.000     .4436753    .5179964
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .1561101   .0247637     6.30   0.000     .1075603      .20466
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                          0.156***
                      [0.108,0.205]   
--------------------------------------
N                              4246   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,246
                                                F(7, 4245)        =      10.89
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0174
                                                Root MSE          =     .49206

                            (Std. err. adjusted for 4,246 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |  -.0130228   .0271897    -0.48   0.632    -.0663289    .0402833
                   |
          inc3_cat |
                2  |  -.0743882   .0251296    -2.96   0.003    -.1236553   -.0251211
                3  |  -.1561101   .0247637    -6.30   0.000      -.20466   -.1075603
                   |
treatment#inc3_cat |
              1 2  |   .0023877   .0378604     0.06   0.950    -.0718385    .0766139
              1 3  |  -.0016424   .0372901    -0.04   0.965    -.0747506    .0714657
                   |
             round |
                2  |  -.0251904   .0191697    -1.31   0.189    -.0627731    .0123923
                3  |  -.0180502   .0182913    -0.99   0.324    -.0539106    .0178102
                   |
             _cons |   .6662977   .0209887    31.75   0.000     .6251489    .7074465
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,246
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6516112   .0179413    36.32   0.000     .6164369    .6867854
          2  |    .577223   .0175956    32.80   0.000     .5427264    .6117196
          3  |    .495501   .0170678    29.03   0.000     .4620392    .5289629
          4  |   .6385884   .0204493    31.23   0.000      .598497    .6786798
          5  |   .5665879    .019609    28.89   0.000     .5281441    .6050317
          6  |   .4808358   .0189544    25.37   0.000     .4436753    .5179964
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .1577526   .0279147     5.65   0.000     .1030251      .21248
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                          0.158***
                      [0.103,0.212]   
--------------------------------------
N                              4246   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,246
                                                F(7, 4245)        =      10.89
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0174
                                                Root MSE          =     .49206

                            (Std. err. adjusted for 4,246 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |  -.0130228   .0271897    -0.48   0.632    -.0663289    .0402833
                   |
          inc3_cat |
                2  |  -.0743882   .0251296    -2.96   0.003    -.1236553   -.0251211
                3  |  -.1561101   .0247637    -6.30   0.000      -.20466   -.1075603
                   |
treatment#inc3_cat |
              1 2  |   .0023877   .0378604     0.06   0.950    -.0718385    .0766139
              1 3  |  -.0016424   .0372901    -0.04   0.965    -.0747506    .0714657
                   |
             round |
                2  |  -.0251904   .0191697    -1.31   0.189    -.0627731    .0123923
                3  |  -.0180502   .0182913    -0.99   0.324    -.0539106    .0178102
                   |
             _cons |   .6662977   .0209887    31.75   0.000     .6251489    .7074465
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,246
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6516112   .0179413    36.32   0.000     .6164369    .6867854
          2  |    .577223   .0175956    32.80   0.000     .5427264    .6117196
          3  |    .495501   .0170678    29.03   0.000     .4620392    .5289629
          4  |   .6385884   .0204493    31.23   0.000      .598497    .6786798
          5  |   .5665879    .019609    28.89   0.000     .5281441    .6050317
          6  |   .4808358   .0189544    25.37   0.000     .4436753    .5179964
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0016424   .0372901     0.04   0.965    -.0714657    .0747506
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              0.00164   
                 (0.0373)   
----------------------------
N                    4246   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,406
                                                F(7, 4405)        =       0.75
                                                Prob > F          =     0.6324
                                                R-squared         =     0.0012
                                                Root MSE          =     .48971

                            (Std. err. adjusted for 4,406 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |    .018674   .0271884     0.69   0.492    -.0346289    .0719769
                   |
          inc3_cat |
                2  |   .0412584   .0254238     1.62   0.105    -.0085851    .0911018
                3  |   .0272281    .025005     1.09   0.276    -.0217943    .0762506
                   |
treatment#inc3_cat |
              1 2  |  -.0404399   .0371763    -1.09   0.277    -.1133242    .0324444
              1 3  |   .0057002   .0366186     0.16   0.876    -.0660906    .0774911
                   |
             round |
                2  |  -.0102677   .0186775    -0.55   0.583    -.0468849    .0263495
                3  |  -.0064285   .0179139    -0.36   0.720    -.0415487    .0286916
                   |
             _cons |   .5803374   .0214741    27.03   0.000     .5382374    .6224374
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,406
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5747076   .0186019    30.90   0.000     .5382386    .6111766
          2  |    .615966   .0173301    35.54   0.000     .5819902    .6499417
          3  |   .6019357   .0167091    36.02   0.000     .5691775     .634694
          4  |   .5933816   .0198333    29.92   0.000     .5544984    .6322649
          5  |   .5942001   .0185129    32.10   0.000     .5579055    .6304946
          6  |     .62631   .0179587    34.88   0.000      .591102     .661518
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0272281    .025005    -1.09   0.276    -.0762506    .0217943
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0272   
                   [-0.0763,0.0218]   
--------------------------------------
N                              4406   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,406
                                                F(7, 4405)        =       0.75
                                                Prob > F          =     0.6324
                                                R-squared         =     0.0012
                                                Root MSE          =     .48971

                            (Std. err. adjusted for 4,406 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |    .018674   .0271884     0.69   0.492    -.0346289    .0719769
                   |
          inc3_cat |
                2  |   .0412584   .0254238     1.62   0.105    -.0085851    .0911018
                3  |   .0272281    .025005     1.09   0.276    -.0217943    .0762506
                   |
treatment#inc3_cat |
              1 2  |  -.0404399   .0371763    -1.09   0.277    -.1133242    .0324444
              1 3  |   .0057002   .0366186     0.16   0.876    -.0660906    .0774911
                   |
             round |
                2  |  -.0102677   .0186775    -0.55   0.583    -.0468849    .0263495
                3  |  -.0064285   .0179139    -0.36   0.720    -.0415487    .0286916
                   |
             _cons |   .5803374   .0214741    27.03   0.000     .5382374    .6224374
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,406
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5747076   .0186019    30.90   0.000     .5382386    .6111766
          2  |    .615966   .0173301    35.54   0.000     .5819902    .6499417
          3  |   .6019357   .0167091    36.02   0.000     .5691775     .634694
          4  |   .5933816   .0198333    29.92   0.000     .5544984    .6322649
          5  |   .5942001   .0185129    32.10   0.000     .5579055    .6304946
          6  |     .62631   .0179587    34.88   0.000      .591102     .661518
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0329284   .0267708    -1.23   0.219    -.0854127     .019556
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0329   
                   [-0.0854,0.0196]   
--------------------------------------
N                              4406   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,406
                                                F(7, 4405)        =       0.75
                                                Prob > F          =     0.6324
                                                R-squared         =     0.0012
                                                Root MSE          =     .48971

                            (Std. err. adjusted for 4,406 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |    .018674   .0271884     0.69   0.492    -.0346289    .0719769
                   |
          inc3_cat |
                2  |   .0412584   .0254238     1.62   0.105    -.0085851    .0911018
                3  |   .0272281    .025005     1.09   0.276    -.0217943    .0762506
                   |
treatment#inc3_cat |
              1 2  |  -.0404399   .0371763    -1.09   0.277    -.1133242    .0324444
              1 3  |   .0057002   .0366186     0.16   0.876    -.0660906    .0774911
                   |
             round |
                2  |  -.0102677   .0186775    -0.55   0.583    -.0468849    .0263495
                3  |  -.0064285   .0179139    -0.36   0.720    -.0415487    .0286916
                   |
             _cons |   .5803374   .0214741    27.03   0.000     .5382374    .6224374
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,406
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5747076   .0186019    30.90   0.000     .5382386    .6111766
          2  |    .615966   .0173301    35.54   0.000     .5819902    .6499417
          3  |   .6019357   .0167091    36.02   0.000     .5691775     .634694
          4  |   .5933816   .0198333    29.92   0.000     .5544984    .6322649
          5  |   .5942001   .0185129    32.10   0.000     .5579055    .6304946
          6  |     .62631   .0179587    34.88   0.000      .591102     .661518
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0057002   .0366186    -0.16   0.876    -.0774911    .0660906
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00570   
                 (0.0366)   
----------------------------
N                    4406   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,374
                                                F(7, 4373)        =       3.00
                                                Prob > F          =     0.0039
                                                R-squared         =     0.0047
                                                Root MSE          =     .41064

                            (Std. err. adjusted for 4,374 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0227538    .022969     0.99   0.322    -.0222772    .0677847
                   |
          inc3_cat |
                2  |  -.0079684   .0220306    -0.36   0.718    -.0511596    .0352229
                3  |   .0460959   .0206903     2.23   0.026     .0055324    .0866594
                   |
treatment#inc3_cat |
              1 2  |  -.0018597   .0316948    -0.06   0.953    -.0639976    .0602781
              1 3  |  -.0376229   .0305051    -1.23   0.218    -.0974284    .0221826
                   |
             round |
                2  |    .035148   .0160477     2.19   0.029     .0036864    .0666096
                3  |   .0483138   .0151763     3.18   0.001     .0185606     .078067
                   |
             _cons |   .7374186   .0186857    39.46   0.000     .7007852    .7740519
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,374
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7664891   .0158719    48.29   0.000     .7353722     .797606
          2  |   .7585207    .015285    49.63   0.000     .7285545     .788487
          3  |    .812585   .0132599    61.28   0.000     .7865889    .8385811
          4  |   .7892429   .0165852    47.59   0.000     .7567275    .8217583
          5  |   .7794148   .0156169    49.91   0.000     .7487978    .8100318
          6  |   .7977159   .0151034    52.82   0.000     .7681055    .8273263
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0460959   .0206903    -2.23   0.026    -.0866594   -.0055324
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0461*  
                 [-0.0867,-0.00553]   
--------------------------------------
N                              4374   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,374
                                                F(7, 4373)        =       3.00
                                                Prob > F          =     0.0039
                                                R-squared         =     0.0047
                                                Root MSE          =     .41064

                            (Std. err. adjusted for 4,374 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0227538    .022969     0.99   0.322    -.0222772    .0677847
                   |
          inc3_cat |
                2  |  -.0079684   .0220306    -0.36   0.718    -.0511596    .0352229
                3  |   .0460959   .0206903     2.23   0.026     .0055324    .0866594
                   |
treatment#inc3_cat |
              1 2  |  -.0018597   .0316948    -0.06   0.953    -.0639976    .0602781
              1 3  |  -.0376229   .0305051    -1.23   0.218    -.0974284    .0221826
                   |
             round |
                2  |    .035148   .0160477     2.19   0.029     .0036864    .0666096
                3  |   .0483138   .0151763     3.18   0.001     .0185606     .078067
                   |
             _cons |   .7374186   .0186857    39.46   0.000     .7007852    .7740519
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,374
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7664891   .0158719    48.29   0.000     .7353722     .797606
          2  |   .7585207    .015285    49.63   0.000     .7285545     .788487
          3  |    .812585   .0132599    61.28   0.000     .7865889    .8385811
          4  |   .7892429   .0165852    47.59   0.000     .7567275    .8217583
          5  |   .7794148   .0156169    49.91   0.000     .7487978    .8100318
          6  |   .7977159   .0151034    52.82   0.000     .7681055    .8273263
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   -.008473   .0224351    -0.38   0.706    -.0524571    .0355111
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                       -0.00847   
                   [-0.0525,0.0355]   
--------------------------------------
N                              4374   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,374
                                                F(7, 4373)        =       3.00
                                                Prob > F          =     0.0039
                                                R-squared         =     0.0047
                                                Root MSE          =     .41064

                            (Std. err. adjusted for 4,374 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0227538    .022969     0.99   0.322    -.0222772    .0677847
                   |
          inc3_cat |
                2  |  -.0079684   .0220306    -0.36   0.718    -.0511596    .0352229
                3  |   .0460959   .0206903     2.23   0.026     .0055324    .0866594
                   |
treatment#inc3_cat |
              1 2  |  -.0018597   .0316948    -0.06   0.953    -.0639976    .0602781
              1 3  |  -.0376229   .0305051    -1.23   0.218    -.0974284    .0221826
                   |
             round |
                2  |    .035148   .0160477     2.19   0.029     .0036864    .0666096
                3  |   .0483138   .0151763     3.18   0.001     .0185606     .078067
                   |
             _cons |   .7374186   .0186857    39.46   0.000     .7007852    .7740519
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,374
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7664891   .0158719    48.29   0.000     .7353722     .797606
          2  |   .7585207    .015285    49.63   0.000     .7285545     .788487
          3  |    .812585   .0132599    61.28   0.000     .7865889    .8385811
          4  |   .7892429   .0165852    47.59   0.000     .7567275    .8217583
          5  |   .7794148   .0156169    49.91   0.000     .7487978    .8100318
          6  |   .7977159   .0151034    52.82   0.000     .7681055    .8273263
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0376229   .0305051     1.23   0.218    -.0221826    .0974284
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0376   
                 (0.0305)   
----------------------------
N                    4374   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,548
                                                F(7, 4547)        =       0.82
                                                Prob > F          =     0.5743
                                                R-squared         =     0.0013
                                                Root MSE          =     .42135

                            (Std. err. adjusted for 4,548 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0198288   .0227726     0.87   0.384    -.0248165     .064474
                   |
          inc3_cat |
                2  |  -.0217396   .0223618    -0.97   0.331    -.0655795    .0221003
                3  |   .0193336   .0213396     0.91   0.365    -.0225024    .0611696
                   |
treatment#inc3_cat |
              1 2  |   .0162807    .031447     0.52   0.605    -.0453707    .0779322
              1 3  |   -.027967   .0307508    -0.91   0.363    -.0882535    .0323194
                   |
             round |
                2  |   .0051308   .0157515     0.33   0.745    -.0257499    .0360114
                3  |  -.0042002   .0151996    -0.28   0.782    -.0339988    .0255984
                   |
             _cons |    .762284   .0184788    41.25   0.000     .7260567    .7985114
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,548
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7623048   .0160238    47.57   0.000     .7308905    .7937192
          2  |   .7405652    .015605    47.46   0.000     .7099718    .7711586
          3  |   .7816384   .0140919    55.47   0.000     .7540115    .8092653
          4  |   .7821336   .0161898    48.31   0.000     .7503937    .8138735
          5  |   .7766747   .0150969    51.45   0.000     .7470775    .8062719
          6  |   .7735002    .015073    51.32   0.000     .7439497    .8030506
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0193336   .0213396    -0.91   0.365    -.0611696    .0225024
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0193   
                   [-0.0612,0.0225]   
--------------------------------------
N                              4548   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,548
                                                F(7, 4547)        =       0.82
                                                Prob > F          =     0.5743
                                                R-squared         =     0.0013
                                                Root MSE          =     .42135

                            (Std. err. adjusted for 4,548 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0198288   .0227726     0.87   0.384    -.0248165     .064474
                   |
          inc3_cat |
                2  |  -.0217396   .0223618    -0.97   0.331    -.0655795    .0221003
                3  |   .0193336   .0213396     0.91   0.365    -.0225024    .0611696
                   |
treatment#inc3_cat |
              1 2  |   .0162807    .031447     0.52   0.605    -.0453707    .0779322
              1 3  |   -.027967   .0307508    -0.91   0.363    -.0882535    .0323194
                   |
             round |
                2  |   .0051308   .0157515     0.33   0.745    -.0257499    .0360114
                3  |  -.0042002   .0151996    -0.28   0.782    -.0339988    .0255984
                   |
             _cons |    .762284   .0184788    41.25   0.000     .7260567    .7985114
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,548
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7623048   .0160238    47.57   0.000     .7308905    .7937192
          2  |   .7405652    .015605    47.46   0.000     .7099718    .7711586
          3  |   .7816384   .0140919    55.47   0.000     .7540115    .8092653
          4  |   .7821336   .0161898    48.31   0.000     .7503937    .8138735
          5  |   .7766747   .0150969    51.45   0.000     .7470775    .8062719
          6  |   .7735002    .015073    51.32   0.000     .7439497    .8030506
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0086334   .0221553     0.39   0.697    -.0348017    .0520686
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        0.00863   
                   [-0.0348,0.0521]   
--------------------------------------
N                              4548   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,548
                                                F(7, 4547)        =       0.82
                                                Prob > F          =     0.5743
                                                R-squared         =     0.0013
                                                Root MSE          =     .42135

                            (Std. err. adjusted for 4,548 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0198288   .0227726     0.87   0.384    -.0248165     .064474
                   |
          inc3_cat |
                2  |  -.0217396   .0223618    -0.97   0.331    -.0655795    .0221003
                3  |   .0193336   .0213396     0.91   0.365    -.0225024    .0611696
                   |
treatment#inc3_cat |
              1 2  |   .0162807    .031447     0.52   0.605    -.0453707    .0779322
              1 3  |   -.027967   .0307508    -0.91   0.363    -.0882535    .0323194
                   |
             round |
                2  |   .0051308   .0157515     0.33   0.745    -.0257499    .0360114
                3  |  -.0042002   .0151996    -0.28   0.782    -.0339988    .0255984
                   |
             _cons |    .762284   .0184788    41.25   0.000     .7260567    .7985114
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,548
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7623048   .0160238    47.57   0.000     .7308905    .7937192
          2  |   .7405652    .015605    47.46   0.000     .7099718    .7711586
          3  |   .7816384   .0140919    55.47   0.000     .7540115    .8092653
          4  |   .7821336   .0161898    48.31   0.000     .7503937    .8138735
          5  |   .7766747   .0150969    51.45   0.000     .7470775    .8062719
          6  |   .7735002    .015073    51.32   0.000     .7439497    .8030506
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .027967   .0307508     0.91   0.363    -.0323194    .0882535
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0280   
                 (0.0308)   
----------------------------
N                    4548   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       3.94
                                                Prob > F          =     0.0003
                                                R-squared         =     0.0061
                                                Root MSE          =      .4988

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0377886   .0273565     1.38   0.167    -.0158438    .0914211
                   |
          inc3_cat |
                2  |  -.0364959   .0258199    -1.41   0.158    -.0871156    .0141239
                3  |   .0285458   .0253812     1.12   0.261    -.0212141    .0783056
                   |
treatment#inc3_cat |
              1 2  |  -.0047325   .0375994    -0.13   0.900    -.0784461    .0689811
              1 3  |  -.0084377   .0370179    -0.23   0.820    -.0810113    .0641358
                   |
             round |
                2  |  -.0525378   .0189523    -2.77   0.006    -.0896937   -.0153819
                3  |  -.0518445   .0181279    -2.86   0.004    -.0873841   -.0163048
                   |
             _cons |    .533366   .0216519    24.63   0.000     .4909175    .5758145
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4974866   .0187943    26.47   0.000     .4606404    .5343328
          2  |   .4609907   .0177007    26.04   0.000     .4262885     .495693
          3  |   .5260323   .0170556    30.84   0.000      .492595    .5594697
          4  |   .5352752   .0198893    26.91   0.000     .4962823    .5742681
          5  |   .4940469    .018761    26.33   0.000     .4572659    .5308278
          6  |   .5553833   .0181938    30.53   0.000     .5197144    .5910521
------------------------------------------------------------------------------

        lc_1:  1._at-3._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0285458   .0253812    -1.12   0.261    -.0783056    .0212141
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0285   
                   [-0.0783,0.0212]   
--------------------------------------
N                              4444   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       3.94
                                                Prob > F          =     0.0003
                                                R-squared         =     0.0061
                                                Root MSE          =      .4988

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0377886   .0273565     1.38   0.167    -.0158438    .0914211
                   |
          inc3_cat |
                2  |  -.0364959   .0258199    -1.41   0.158    -.0871156    .0141239
                3  |   .0285458   .0253812     1.12   0.261    -.0212141    .0783056
                   |
treatment#inc3_cat |
              1 2  |  -.0047325   .0375994    -0.13   0.900    -.0784461    .0689811
              1 3  |  -.0084377   .0370179    -0.23   0.820    -.0810113    .0641358
                   |
             round |
                2  |  -.0525378   .0189523    -2.77   0.006    -.0896937   -.0153819
                3  |  -.0518445   .0181279    -2.86   0.004    -.0873841   -.0163048
                   |
             _cons |    .533366   .0216519    24.63   0.000     .4909175    .5758145
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4974866   .0187943    26.47   0.000     .4606404    .5343328
          2  |   .4609907   .0177007    26.04   0.000     .4262885     .495693
          3  |   .5260323   .0170556    30.84   0.000      .492595    .5594697
          4  |   .5352752   .0198893    26.91   0.000     .4962823    .5742681
          5  |   .4940469    .018761    26.33   0.000     .4572659    .5308278
          6  |   .5553833   .0181938    30.53   0.000     .5197144    .5910521
------------------------------------------------------------------------------

        lc_1:  4._at-6._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0201081   .0269716    -0.75   0.456    -.0729859    .0327698
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0201   
                   [-0.0730,0.0328]   
--------------------------------------
N                              4444   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,444
                                                F(7, 4443)        =       3.94
                                                Prob > F          =     0.0003
                                                R-squared         =     0.0061
                                                Root MSE          =      .4988

                            (Std. err. adjusted for 4,444 clusters in respondent_id)
------------------------------------------------------------------------------------
                   |               Robust
           support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-------------------+----------------------------------------------------------------
       1.treatment |   .0377886   .0273565     1.38   0.167    -.0158438    .0914211
                   |
          inc3_cat |
                2  |  -.0364959   .0258199    -1.41   0.158    -.0871156    .0141239
                3  |   .0285458   .0253812     1.12   0.261    -.0212141    .0783056
                   |
treatment#inc3_cat |
              1 2  |  -.0047325   .0375994    -0.13   0.900    -.0784461    .0689811
              1 3  |  -.0084377   .0370179    -0.23   0.820    -.0810113    .0641358
                   |
             round |
                2  |  -.0525378   .0189523    -2.77   0.006    -.0896937   -.0153819
                3  |  -.0518445   .0181279    -2.86   0.004    -.0873841   -.0163048
                   |
             _cons |    .533366   .0216519    24.63   0.000     .4909175    .5758145
------------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,444
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       inc3_cat  = 1
2._at: treatment = 0
       inc3_cat  = 2
3._at: treatment = 0
       inc3_cat  = 3
4._at: treatment = 1
       inc3_cat  = 1
5._at: treatment = 1
       inc3_cat  = 2
6._at: treatment = 1
       inc3_cat  = 3

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4974866   .0187943    26.47   0.000     .4606404    .5343328
          2  |   .4609907   .0177007    26.04   0.000     .4262885     .495693
          3  |   .5260323   .0170556    30.84   0.000      .492595    .5594697
          4  |   .5352752   .0198893    26.91   0.000     .4962823    .5742681
          5  |   .4940469    .018761    26.33   0.000     .4572659    .5308278
          6  |   .5553833   .0181938    30.53   0.000     .5197144    .5910521
------------------------------------------------------------------------------

        lc_1:  (4._at-6._at)-(1._at-3._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0084377   .0370179     0.23   0.820    -.0641358    .0810113
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              0.00844   
                 (0.0370)   
----------------------------
N                    4444   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

. mat ci = ci1\ci2\ci3\ci4\ci5\ci6\ci7\ci8\cit1\cit2\cit3\cit4\cit5\cit6\cit7\cit8

. 
. mat list ci

ci[16,4]
          active:     active:     active:     active:
               b        ci_l        ci_u           p
lc_1   .02023929  -.01486464   .05534322   .25839739
lc_1   .06959336   .02916647   .11002025    .0007446
lc_1  -.02299657   -.0725294   .02653626   .36275322
lc_1   .15611011   .10756026   .20465996   3.197e-10
lc_1  -.02722812  -.07625058   .02179435   .27625546
lc_1  -.04609591  -.08665939  -.00553242   .02593795
lc_1  -.01933358  -.06116961   .02250244   .36498673
lc_1  -.02854577  -.07830565    .0212141   .26078547
lc_1    .0157335  -.02038709   .05185408    .3931738
lc_1   .09577039    .0545136   .13702718   5.480e-06
lc_1   .00853116  -.05474759   .07180991   .79154466
lc_1   .15775255    .1030251      .21248   1.697e-08
lc_1  -.03292835  -.08541266   .01955595   .21875972
lc_1  -.00847299  -.05245706   .03551108   .70569591
lc_1   .00863343  -.03480175   .05206861   .69679318
lc_1  -.02010805   -.0729859   .03276979   .45599338

. 
. sort respondent_id topic

. 
. keep in 1/16
(38,464 observations deleted)

. 
. keep topic topic2

. 
. g treatment=0 

. replace treatment=1 in 9/16
(8 real changes made)

. 
. svmat double ci, name(temp)

. ren temp1 margin

. ren temp2 lb

. ren temp3 ub

. drop temp4

. 
. mat did = did1\did2\did3\did4\did5\did6\did7\did8

. 
. mat list did

did[8,3]
          active:     active:     active:
               b          se           p
lc_1  -.00450579   .02567838   .86071819
lc_1   .02617703   .02945249   .37416386
lc_1   .03152773   .04097095    .4416358
lc_1   .00164244   .03729011   .96487066
lc_1  -.00570024   .03661858   .87630405
lc_1   .03762292   .03050511    .2175184
lc_1   .02796701   .03075077   .36314844
lc_1   .00843772   .03701792   .81970639

. 
. svmat double did, name(temp)

. ren temp1 did_est

. ren temp2 did_se

. ren temp3 did_p

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. sort topic treatment

. g hline=ub+0.03 if treatment==1
(8 missing values generated)

. replace hline=hline[_n+1] if hline==.
(8 real changes made)

. 
. g temp=ub+0.03 if treatment==0
(8 missing values generated)

. replace temp=temp[_n-1] if temp==.
(8 real changes made)

. 
. replace hline=temp if topic==1 | topic==5
(4 real changes made)

. 
. drop temp 

. 
. g dropl=hline

. replace dropl=hline+0.0012 if treatment==0
(8 real changes made)

. replace dropl=hline-0.01 if treatment==1
(8 real changes made)

. 
. ** labels
. * slope coefficient
. su did_est if treatment==0 & topic==1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0045058           .  -.0045058  -.0045058

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
-.005

. g dydx_t="`margin_3f'" if treatment==0 & topic==1
(15 missing values generated)

. 
. foreach n of numlist 2/8 {
  2.         su did_est if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace dydx_t="`margin_3f'" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1     .026177           .    .026177    .026177
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0315277           .   .0315277   .0315277
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0016424           .   .0016424   .0016424
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0057002           .  -.0057002  -.0057002
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0376229           .   .0376229   .0376229
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1     .027967           .    .027967    .027967
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0084377           .   .0084377   .0084377
(1 real change made)

. 
. 
. * se
. su did_se if treatment==0 & topic== 1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0256784           .   .0256784   .0256784

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
.026

. g se_t="(`margin_3f')" if treatment==0 & topic==1
(15 missing values generated)

. 
. 
. foreach n of numlist 2/8 {
  2.         su did_se if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace se_t="(`margin_3f')" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0294525           .   .0294525   .0294525
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0409709           .   .0409709   .0409709
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0372901           .   .0372901   .0372901
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0366186           .   .0366186   .0366186
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0305051           .   .0305051   .0305051
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0307508           .   .0307508   .0307508
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0370179           .   .0370179   .0370179
(1 real change made)

. 
. replace se_t = subinstr(se_t, " ", "", .)
(8 real changes made)

. 
. g lab_t=dydx_t+" "+se_t

. 
. replace dydx_t=dydx_t+"*" if did_p<0.05
(0 real changes made)

. replace dydx_t=dydx_t+"+" if did_p<0.1 & did_p>0.05
(0 real changes made)

. 
. g z=0

. g o=1

. g x=0.08

. g x2=0.14

. g y_h=hline+0.04

. g y_h2=hline+0.02

. 
. twoway ///
> (scatter margin treatment if treatment==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter margin treatment if treatment==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(sol
> id)) ///
> (rspike lb ub treatment if treatment==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike lb ub treatment if treatment==1, lcolor(gray)  lwidth(medthick)) ///
>  (line  hline treatment ,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl z,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl o,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (scatter y_h x2, ms(none) mla(dydx_t) mlabcolor(black) mlabsize(medsmall)) ///
>  (scatter y_h2 x, ms(none) mla(se_t) mlabcolor(black) mlabsize(medsmall)), ///
> by(topic, r(1) legend(off) note("") title("B: Income", size(large) position(11))) subtitle(,
>   size(medsmall)) ///
> scheme(plotplain) yline(.5) xtick(0 1) xscale(r(-0.2 1.2)) xlabel(0 "Control" 1 "Treat.", la
> bsize(medsmall)  labcolor(gray) tlength(0.5)) ylabel(-0.3(.1)0.3, labsize(medsmall) labcolor
> (gray) format(%3.1f)) xtitle("", size(medsmall) color(gray)) ytitle("", size(medsmall) color
> (gray)) xsize(8)

. 
. 
. graph export "figureE4b.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE4b.pdf saved as PDF format

. restore

. 
. 
. 
. 
. 
. * Figure E4c: female
. preserve

. 
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.female i.round if topic==`n', cluster(respondent_id)
  3. margins, at(female=(0 1) treatment=(0 1)) post
  4. xlincom 1._at-2._at, post
  5. 
. esttab, ci
  6. 
. mat ci`n'= r(coefs)
  7. 
. reg support i.treatment##i.female i.round if topic==`n', cluster(respondent_id)
  8. margins, at(female=(0 1) treatment=(0 1)) post
  9. xlincom 3._at-4._at, post
 10. 
. esttab, ci
 11. 
. mat cit`n'= r(coefs)
 12. 
. 
. reg support i.treatment##i.female i.round if topic==`n', cluster(respondent_id)
 13. margins, at(female=(0 1) treatment=(0 1)) post
 14. xlincom ((3._at-4._at)-(1._at-2._at)), post
 15. 
. esttab, se
 16. 
. mat did`n'= r(coefs)
 17. 
. }

Linear regression                               Number of obs     =      4,493
                                                F(5, 4492)        =       4.35
                                                Prob > F          =     0.0006
                                                R-squared         =     0.0045
                                                Root MSE          =     .35388

                          (Std. err. adjusted for 4,493 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0001028   .0157737    -0.01   0.995     -.031027    .0308213
        1.female |   .0133958   .0148665     0.90   0.368    -.0157499    .0425414
                 |
treatment#female |
            1 1  |   .0363095   .0211394     1.72   0.086    -.0051341    .0777531
                 |
           round |
              2  |  -.0089826   .0137135    -0.66   0.512    -.0358678    .0179026
              3  |   .0208181   .0125937     1.65   0.098    -.0038718    .0455081
                 |
           _cons |   .8320719   .0135108    61.59   0.000      .805584    .8585598
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,493
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8371062   .0107603    77.80   0.000     .8160107    .8582017
          2  |    .850502   .0102615    82.88   0.000     .8303843    .8706196
          3  |   .8370034   .0115336    72.57   0.000     .8143919    .8596148
          4  |   .8867086   .0096315    92.06   0.000     .8678261    .9055911
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0133958   .0148665    -0.90   0.368    -.0425414    .0157499
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0134   
                   [-0.0425,0.0157]   
--------------------------------------
N                              4493   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,493
                                                F(5, 4492)        =       4.35
                                                Prob > F          =     0.0006
                                                R-squared         =     0.0045
                                                Root MSE          =     .35388

                          (Std. err. adjusted for 4,493 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0001028   .0157737    -0.01   0.995     -.031027    .0308213
        1.female |   .0133958   .0148665     0.90   0.368    -.0157499    .0425414
                 |
treatment#female |
            1 1  |   .0363095   .0211394     1.72   0.086    -.0051341    .0777531
                 |
           round |
              2  |  -.0089826   .0137135    -0.66   0.512    -.0358678    .0179026
              3  |   .0208181   .0125937     1.65   0.098    -.0038718    .0455081
                 |
           _cons |   .8320719   .0135108    61.59   0.000      .805584    .8585598
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,493
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8371062   .0107603    77.80   0.000     .8160107    .8582017
          2  |    .850502   .0102615    82.88   0.000     .8303843    .8706196
          3  |   .8370034   .0115336    72.57   0.000     .8143919    .8596148
          4  |   .8867086   .0096315    92.06   0.000     .8678261    .9055911
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0497053   .0150258    -3.31   0.001    -.0791632   -.0202473
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0497***
                  [-0.0792,-0.0202]   
--------------------------------------
N                              4493   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,493
                                                F(5, 4492)        =       4.35
                                                Prob > F          =     0.0006
                                                R-squared         =     0.0045
                                                Root MSE          =     .35388

                          (Std. err. adjusted for 4,493 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0001028   .0157737    -0.01   0.995     -.031027    .0308213
        1.female |   .0133958   .0148665     0.90   0.368    -.0157499    .0425414
                 |
treatment#female |
            1 1  |   .0363095   .0211394     1.72   0.086    -.0051341    .0777531
                 |
           round |
              2  |  -.0089826   .0137135    -0.66   0.512    -.0358678    .0179026
              3  |   .0208181   .0125937     1.65   0.098    -.0038718    .0455081
                 |
           _cons |   .8320719   .0135108    61.59   0.000      .805584    .8585598
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,493
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8371062   .0107603    77.80   0.000     .8160107    .8582017
          2  |    .850502   .0102615    82.88   0.000     .8303843    .8706196
          3  |   .8370034   .0115336    72.57   0.000     .8143919    .8596148
          4  |   .8867086   .0096315    92.06   0.000     .8678261    .9055911
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0363095   .0211394    -1.72   0.086    -.0777531    .0051341
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0363   
                 (0.0211)   
----------------------------
N                    4493   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,618
                                                F(5, 4617)        =       8.05
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0090
                                                Root MSE          =     .40624

                          (Std. err. adjusted for 4,618 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |    .025752   .0182049     1.41   0.157    -.0099383    .0614422
        1.female |   .0808874    .016902     4.79   0.000     .0477514    .1140233
                 |
treatment#female |
            1 1  |  -.0180912   .0239978    -0.75   0.451    -.0651384     .028956
                 |
           round |
              2  |  -.0096877   .0152512    -0.64   0.525    -.0395874    .0202121
              3  |   .0121062   .0143849     0.84   0.400     -.016095    .0403074
                 |
           _cons |   .7383761   .0156415    47.21   0.000     .7077112     .769041
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,618
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7398506   .0127993    57.80   0.000     .7147578    .7649434
          2  |    .820738   .0110437    74.32   0.000     .7990871    .8423888
          3  |   .7656026   .0129411    59.16   0.000     .7402319    .7909732
          4  |   .8283987   .0110616    74.89   0.000     .8067128    .8500847
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0808874    .016902    -4.79   0.000    -.1140233   -.0477514
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0809***
                   [-0.114,-0.0478]   
--------------------------------------
N                              4618   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,618
                                                F(5, 4617)        =       8.05
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0090
                                                Root MSE          =     .40624

                          (Std. err. adjusted for 4,618 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |    .025752   .0182049     1.41   0.157    -.0099383    .0614422
        1.female |   .0808874    .016902     4.79   0.000     .0477514    .1140233
                 |
treatment#female |
            1 1  |  -.0180912   .0239978    -0.75   0.451    -.0651384     .028956
                 |
           round |
              2  |  -.0096877   .0152512    -0.64   0.525    -.0395874    .0202121
              3  |   .0121062   .0143849     0.84   0.400     -.016095    .0403074
                 |
           _cons |   .7383761   .0156415    47.21   0.000     .7077112     .769041
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,618
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7398506   .0127993    57.80   0.000     .7147578    .7649434
          2  |    .820738   .0110437    74.32   0.000     .7990871    .8423888
          3  |   .7656026   .0129411    59.16   0.000     .7402319    .7909732
          4  |   .8283987   .0110616    74.89   0.000     .8067128    .8500847
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0627962    .017026    -3.69   0.000    -.0961752   -.0294171
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0628***
                  [-0.0962,-0.0294]   
--------------------------------------
N                              4618   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,618
                                                F(5, 4617)        =       8.05
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0090
                                                Root MSE          =     .40624

                          (Std. err. adjusted for 4,618 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |    .025752   .0182049     1.41   0.157    -.0099383    .0614422
        1.female |   .0808874    .016902     4.79   0.000     .0477514    .1140233
                 |
treatment#female |
            1 1  |  -.0180912   .0239978    -0.75   0.451    -.0651384     .028956
                 |
           round |
              2  |  -.0096877   .0152512    -0.64   0.525    -.0395874    .0202121
              3  |   .0121062   .0143849     0.84   0.400     -.016095    .0403074
                 |
           _cons |   .7383761   .0156415    47.21   0.000     .7077112     .769041
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,618
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7398506   .0127993    57.80   0.000     .7147578    .7649434
          2  |    .820738   .0110437    74.32   0.000     .7990871    .8423888
          3  |   .7656026   .0129411    59.16   0.000     .7402319    .7909732
          4  |   .8283987   .0110616    74.89   0.000     .8067128    .8500847
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0180912   .0239978     0.75   0.451     -.028956    .0651384
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0181   
                 (0.0240)   
----------------------------
N                    4618   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,846
                                                F(5, 3845)        =       2.65
                                                Prob > F          =     0.0215
                                                R-squared         =     0.0034
                                                Root MSE          =     .49749

                          (Std. err. adjusted for 3,846 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0136949   .0227934     0.60   0.548    -.0309934    .0583832
        1.female |  -.0363183   .0204205    -1.78   0.075    -.0763542    .0037177
                 |
treatment#female |
            1 1  |  -.0372358   .0330913    -1.13   0.261     -.102114    .0276424
                 |
           round |
              2  |  -.0161867   .0202887    -0.80   0.425    -.0559645     .023591
              3  |  -.0264463   .0193793    -1.36   0.172    -.0644411    .0115484
                 |
           _cons |     .57935   .0186139    31.12   0.000     .5428559    .6158441
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,846
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5643897   .0144897    38.95   0.000     .5359815    .5927979
          2  |   .5280714   .0143841    36.71   0.000     .4998702    .5562726
          3  |   .5780846   .0175972    32.85   0.000     .5435838    .6125854
          4  |   .5045306   .0192018    26.28   0.000     .4668838    .5421773
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0363183   .0204205     1.78   0.075    -.0037177    .0763542
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0363   
                  [-0.00372,0.0764]   
--------------------------------------
N                              3846   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,846
                                                F(5, 3845)        =       2.65
                                                Prob > F          =     0.0215
                                                R-squared         =     0.0034
                                                Root MSE          =     .49749

                          (Std. err. adjusted for 3,846 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0136949   .0227934     0.60   0.548    -.0309934    .0583832
        1.female |  -.0363183   .0204205    -1.78   0.075    -.0763542    .0037177
                 |
treatment#female |
            1 1  |  -.0372358   .0330913    -1.13   0.261     -.102114    .0276424
                 |
           round |
              2  |  -.0161867   .0202887    -0.80   0.425    -.0559645     .023591
              3  |  -.0264463   .0193793    -1.36   0.172    -.0644411    .0115484
                 |
           _cons |     .57935   .0186139    31.12   0.000     .5428559    .6158441
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,846
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5643897   .0144897    38.95   0.000     .5359815    .5927979
          2  |   .5280714   .0143841    36.71   0.000     .4998702    .5562726
          3  |   .5780846   .0175972    32.85   0.000     .5435838    .6125854
          4  |   .5045306   .0192018    26.28   0.000     .4668838    .5421773
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .073554   .0260456     2.82   0.005     .0224896    .1246185
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0736** 
                     [0.0225,0.125]   
--------------------------------------
N                              3846   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,846
                                                F(5, 3845)        =       2.65
                                                Prob > F          =     0.0215
                                                R-squared         =     0.0034
                                                Root MSE          =     .49749

                          (Std. err. adjusted for 3,846 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0136949   .0227934     0.60   0.548    -.0309934    .0583832
        1.female |  -.0363183   .0204205    -1.78   0.075    -.0763542    .0037177
                 |
treatment#female |
            1 1  |  -.0372358   .0330913    -1.13   0.261     -.102114    .0276424
                 |
           round |
              2  |  -.0161867   .0202887    -0.80   0.425    -.0559645     .023591
              3  |  -.0264463   .0193793    -1.36   0.172    -.0644411    .0115484
                 |
           _cons |     .57935   .0186139    31.12   0.000     .5428559    .6158441
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,846
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5643897   .0144897    38.95   0.000     .5359815    .5927979
          2  |   .5280714   .0143841    36.71   0.000     .4998702    .5562726
          3  |   .5780846   .0175972    32.85   0.000     .5435838    .6125854
          4  |   .5045306   .0192018    26.28   0.000     .4668838    .5421773
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0372358   .0330913     1.13   0.261    -.0276424     .102114
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0372   
                 (0.0331)   
----------------------------
N                    3846   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,300
                                                F(5, 4299)        =       1.68
                                                Prob > F          =     0.1347
                                                R-squared         =     0.0019
                                                Root MSE          =     .49602

                          (Std. err. adjusted for 4,300 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0066106   .0215688    -0.31   0.759    -.0488965    .0356753
        1.female |   .0381551     .02031     1.88   0.060     -.001663    .0779733
                 |
treatment#female |
            1 1  |  -.0226746    .030455    -0.74   0.457    -.0823821    .0370329
                 |
           round |
              2  |  -.0282513   .0191803    -1.47   0.141    -.0658546    .0093519
              3  |  -.0280314   .0182823    -1.53   0.125    -.0638742    .0078114
                 |
           _cons |   .5701362   .0182729    31.20   0.000     .5343119    .6059604
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,300
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507197   .0145428    37.87   0.000     .5222083    .5792311
          2  |   .5888748   .0141739    41.55   0.000     .5610866     .616663
          3  |   .5441091   .0159264    34.16   0.000     .5128852     .575333
          4  |   .5595896   .0161656    34.62   0.000     .5278967    .5912825
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0381551     .02031    -1.88   0.060    -.0779733     .001663
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0382   
                  [-0.0780,0.00166]   
--------------------------------------
N                              4300   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,300
                                                F(5, 4299)        =       1.68
                                                Prob > F          =     0.1347
                                                R-squared         =     0.0019
                                                Root MSE          =     .49602

                          (Std. err. adjusted for 4,300 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0066106   .0215688    -0.31   0.759    -.0488965    .0356753
        1.female |   .0381551     .02031     1.88   0.060     -.001663    .0779733
                 |
treatment#female |
            1 1  |  -.0226746    .030455    -0.74   0.457    -.0823821    .0370329
                 |
           round |
              2  |  -.0282513   .0191803    -1.47   0.141    -.0658546    .0093519
              3  |  -.0280314   .0182823    -1.53   0.125    -.0638742    .0078114
                 |
           _cons |   .5701362   .0182729    31.20   0.000     .5343119    .6059604
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,300
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507197   .0145428    37.87   0.000     .5222083    .5792311
          2  |   .5888748   .0141739    41.55   0.000     .5610866     .616663
          3  |   .5441091   .0159264    34.16   0.000     .5128852     .575333
          4  |   .5595896   .0161656    34.62   0.000     .5278967    .5912825
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0154805   .0226929    -0.68   0.495    -.0599704    .0290094
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0155   
                   [-0.0600,0.0290]   
--------------------------------------
N                              4300   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,300
                                                F(5, 4299)        =       1.68
                                                Prob > F          =     0.1347
                                                R-squared         =     0.0019
                                                Root MSE          =     .49602

                          (Std. err. adjusted for 4,300 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |  -.0066106   .0215688    -0.31   0.759    -.0488965    .0356753
        1.female |   .0381551     .02031     1.88   0.060     -.001663    .0779733
                 |
treatment#female |
            1 1  |  -.0226746    .030455    -0.74   0.457    -.0823821    .0370329
                 |
           round |
              2  |  -.0282513   .0191803    -1.47   0.141    -.0658546    .0093519
              3  |  -.0280314   .0182823    -1.53   0.125    -.0638742    .0078114
                 |
           _cons |   .5701362   .0182729    31.20   0.000     .5343119    .6059604
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,300
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507197   .0145428    37.87   0.000     .5222083    .5792311
          2  |   .5888748   .0141739    41.55   0.000     .5610866     .616663
          3  |   .5441091   .0159264    34.16   0.000     .5128852     .575333
          4  |   .5595896   .0161656    34.62   0.000     .5278967    .5912825
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0226746    .030455     0.74   0.457    -.0370329    .0823821
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0227   
                 (0.0305)   
----------------------------
N                    4300   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,467
                                                F(5, 4466)        =       8.51
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0093
                                                Root MSE          =     .48678

                          (Std. err. adjusted for 4,467 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0418714   .0204348     2.05   0.041     .0018091    .0819337
        1.female |  -.0597327   .0200554    -2.98   0.003    -.0990513   -.0204141
                 |
treatment#female |
            1 1  |   -.061175   .0291565    -2.10   0.036    -.1183362   -.0040139
                 |
           round |
              2  |  -.0101435   .0184092    -0.55   0.582    -.0462346    .0259477
              3  |  -.0046223   .0176642    -0.26   0.794    -.0392529    .0300083
                 |
           _cons |   .6362981   .0176379    36.08   0.000     .6017191    .6708772
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,467
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6313793   .0141017    44.77   0.000     .6037329    .6590256
          2  |   .5716466   .0142548    40.10   0.000     .5437002     .599593
          3  |   .6732507   .0147914    45.52   0.000     .6442522    .7022491
          4  |   .5523429   .0151341    36.50   0.000     .5226727    .5820132
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0597327   .0200554     2.98   0.003     .0204141    .0990513
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0597** 
                    [0.0204,0.0991]   
--------------------------------------
N                              4467   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,467
                                                F(5, 4466)        =       8.51
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0093
                                                Root MSE          =     .48678

                          (Std. err. adjusted for 4,467 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0418714   .0204348     2.05   0.041     .0018091    .0819337
        1.female |  -.0597327   .0200554    -2.98   0.003    -.0990513   -.0204141
                 |
treatment#female |
            1 1  |   -.061175   .0291565    -2.10   0.036    -.1183362   -.0040139
                 |
           round |
              2  |  -.0101435   .0184092    -0.55   0.582    -.0462346    .0259477
              3  |  -.0046223   .0176642    -0.26   0.794    -.0392529    .0300083
                 |
           _cons |   .6362981   .0176379    36.08   0.000     .6017191    .6708772
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,467
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6313793   .0141017    44.77   0.000     .6037329    .6590256
          2  |   .5716466   .0142548    40.10   0.000     .5437002     .599593
          3  |   .6732507   .0147914    45.52   0.000     .6442522    .7022491
          4  |   .5523429   .0151341    36.50   0.000     .5226727    .5820132
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .1209077   .0211613     5.71   0.000     .0794211    .1623944
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                          0.121***
                     [0.0794,0.162]   
--------------------------------------
N                              4467   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,467
                                                F(5, 4466)        =       8.51
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0093
                                                Root MSE          =     .48678

                          (Std. err. adjusted for 4,467 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0418714   .0204348     2.05   0.041     .0018091    .0819337
        1.female |  -.0597327   .0200554    -2.98   0.003    -.0990513   -.0204141
                 |
treatment#female |
            1 1  |   -.061175   .0291565    -2.10   0.036    -.1183362   -.0040139
                 |
           round |
              2  |  -.0101435   .0184092    -0.55   0.582    -.0462346    .0259477
              3  |  -.0046223   .0176642    -0.26   0.794    -.0392529    .0300083
                 |
           _cons |   .6362981   .0176379    36.08   0.000     .6017191    .6708772
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,467
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6313793   .0141017    44.77   0.000     .6037329    .6590256
          2  |   .5716466   .0142548    40.10   0.000     .5437002     .599593
          3  |   .6732507   .0147914    45.52   0.000     .6442522    .7022491
          4  |   .5523429   .0151341    36.50   0.000     .5226727    .5820132
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .061175   .0291565     2.10   0.036     .0040139    .1183362
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0612*  
                 (0.0292)   
----------------------------
N                    4467   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,430
                                                F(5, 4429)        =      11.25
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0126
                                                Root MSE          =     .41045

                          (Std. err. adjusted for 4,430 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   -.005131   .0191595    -0.27   0.789    -.0426933    .0324312
        1.female |   .0721206   .0169878     4.25   0.000     .0388161    .1054252
                 |
treatment#female |
            1 1  |   .0219322   .0249219     0.88   0.379    -.0269273    .0707917
                 |
           round |
              2  |   .0341422   .0158844     2.15   0.032     .0030007    .0652836
              3  |    .046964    .015106     3.11   0.002     .0173487    .0765792
                 |
           _cons |   .7133709   .0159273    44.79   0.000     .6821454    .7445965
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,430
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7416174   .0127767    58.04   0.000     .7165686    .7666662
          2  |   .8137381   .0111938    72.70   0.000     .7917926    .8356836
          3  |   .7364864   .0142678    51.62   0.000     .7085144    .7644583
          4  |   .8305392    .011327    73.32   0.000     .8083327    .8527458
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0721206   .0169878    -4.25   0.000    -.1054252   -.0388161
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0721***
                   [-0.105,-0.0388]   
--------------------------------------
N                              4430   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,430
                                                F(5, 4429)        =      11.25
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0126
                                                Root MSE          =     .41045

                          (Std. err. adjusted for 4,430 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   -.005131   .0191595    -0.27   0.789    -.0426933    .0324312
        1.female |   .0721206   .0169878     4.25   0.000     .0388161    .1054252
                 |
treatment#female |
            1 1  |   .0219322   .0249219     0.88   0.379    -.0269273    .0707917
                 |
           round |
              2  |   .0341422   .0158844     2.15   0.032     .0030007    .0652836
              3  |    .046964    .015106     3.11   0.002     .0173487    .0765792
                 |
           _cons |   .7133709   .0159273    44.79   0.000     .6821454    .7445965
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,430
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7416174   .0127767    58.04   0.000     .7165686    .7666662
          2  |   .8137381   .0111938    72.70   0.000     .7917926    .8356836
          3  |   .7364864   .0142678    51.62   0.000     .7085144    .7644583
          4  |   .8305392    .011327    73.32   0.000     .8083327    .8527458
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0940528   .0182212    -5.16   0.000    -.1297755   -.0583302
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0941***
                   [-0.130,-0.0583]   
--------------------------------------
N                              4430   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,430
                                                F(5, 4429)        =      11.25
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0126
                                                Root MSE          =     .41045

                          (Std. err. adjusted for 4,430 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   -.005131   .0191595    -0.27   0.789    -.0426933    .0324312
        1.female |   .0721206   .0169878     4.25   0.000     .0388161    .1054252
                 |
treatment#female |
            1 1  |   .0219322   .0249219     0.88   0.379    -.0269273    .0707917
                 |
           round |
              2  |   .0341422   .0158844     2.15   0.032     .0030007    .0652836
              3  |    .046964    .015106     3.11   0.002     .0173487    .0765792
                 |
           _cons |   .7133709   .0159273    44.79   0.000     .6821454    .7445965
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,430
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7416174   .0127767    58.04   0.000     .7165686    .7666662
          2  |   .8137381   .0111938    72.70   0.000     .7917926    .8356836
          3  |   .7364864   .0142678    51.62   0.000     .7085144    .7644583
          4  |   .8305392    .011327    73.32   0.000     .8083327    .8527458
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0219322   .0249219    -0.88   0.379    -.0707917    .0269273
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              -0.0219   
                 (0.0249)   
----------------------------
N                    4430   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,604
                                                F(5, 4603)        =      12.17
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0130
                                                Root MSE          =     .41974

                          (Std. err. adjusted for 4,604 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0074537   .0191961     0.39   0.698    -.0301799    .0450872
        1.female |   .0905467   .0174366     5.19   0.000     .0563625    .1247308
                 |
treatment#female |
            1 1  |   .0091068   .0249457     0.37   0.715    -.0397986    .0580123
                 |
           round |
              2  |   .0043442   .0155565     0.28   0.780     -.026154    .0348424
              3  |   -.006384   .0150419    -0.42   0.671    -.0358734    .0231054
                 |
           _cons |   .7157708   .0159037    45.01   0.000      .684592    .7469497
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,604
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7147358   .0131832    54.22   0.000     .6888905    .7405811
          2  |   .8052825   .0114102    70.58   0.000      .782913    .8276519
          3  |   .7221895   .0139495    51.77   0.000     .6948417    .7495372
          4  |   .8218429   .0110948    74.07   0.000     .8000918    .8435941
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0905467   .0174366    -5.19   0.000    -.1247308   -.0563625
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0905***
                   [-0.125,-0.0564]   
--------------------------------------
N                              4604   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,604
                                                F(5, 4603)        =      12.17
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0130
                                                Root MSE          =     .41974

                          (Std. err. adjusted for 4,604 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0074537   .0191961     0.39   0.698    -.0301799    .0450872
        1.female |   .0905467   .0174366     5.19   0.000     .0563625    .1247308
                 |
treatment#female |
            1 1  |   .0091068   .0249457     0.37   0.715    -.0397986    .0580123
                 |
           round |
              2  |   .0043442   .0155565     0.28   0.780     -.026154    .0348424
              3  |   -.006384   .0150419    -0.42   0.671    -.0358734    .0231054
                 |
           _cons |   .7157708   .0159037    45.01   0.000      .684592    .7469497
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,604
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7147358   .0131832    54.22   0.000     .6888905    .7405811
          2  |   .8052825   .0114102    70.58   0.000      .782913    .8276519
          3  |   .7221895   .0139495    51.77   0.000     .6948417    .7495372
          4  |   .8218429   .0110948    74.07   0.000     .8000918    .8435941
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0996535   .0178245    -5.59   0.000    -.1345981   -.0647089
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0997***
                   [-0.135,-0.0647]   
--------------------------------------
N                              4604   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,604
                                                F(5, 4603)        =      12.17
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0130
                                                Root MSE          =     .41974

                          (Std. err. adjusted for 4,604 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0074537   .0191961     0.39   0.698    -.0301799    .0450872
        1.female |   .0905467   .0174366     5.19   0.000     .0563625    .1247308
                 |
treatment#female |
            1 1  |   .0091068   .0249457     0.37   0.715    -.0397986    .0580123
                 |
           round |
              2  |   .0043442   .0155565     0.28   0.780     -.026154    .0348424
              3  |   -.006384   .0150419    -0.42   0.671    -.0358734    .0231054
                 |
           _cons |   .7157708   .0159037    45.01   0.000      .684592    .7469497
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,604
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7147358   .0131832    54.22   0.000     .6888905    .7405811
          2  |   .8052825   .0114102    70.58   0.000      .782913    .8276519
          3  |   .7221895   .0139495    51.77   0.000     .6948417    .7495372
          4  |   .8218429   .0110948    74.07   0.000     .8000918    .8435941
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0091068   .0249457    -0.37   0.715    -.0580123    .0397986
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00911   
                 (0.0249)   
----------------------------
N                    4604   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,499
                                                F(5, 4498)        =       4.14
                                                Prob > F          =     0.0009
                                                R-squared         =     0.0045
                                                Root MSE          =     .49911

                          (Std. err. adjusted for 4,499 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0262537   .0214138     1.23   0.220    -.0157278    .0682353
        1.female |   .0400383   .0204748     1.96   0.051    -.0001023    .0801789
                 |
treatment#female |
            1 1  |   .0035074   .0298409     0.12   0.906    -.0549954    .0620102
                 |
           round |
              2  |  -.0502336   .0188281    -2.67   0.008     -.087146   -.0133213
              3  |  -.0473179   .0180081    -2.63   0.009    -.0826227   -.0120131
                 |
           _cons |   .5086953   .0181689    28.00   0.000     .4730754    .5443152
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,499
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4752339   .0145536    32.65   0.000     .4467017    .5037662
          2  |   .5152722   .0143978    35.79   0.000     .4870456    .5434989
          3  |   .5014877    .015706    31.93   0.000     .4706962    .5322791
          4  |   .5450334    .014977    36.39   0.000     .5156712    .5743956
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0400383   .0204748    -1.96   0.051    -.0801789    .0001023
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0400   
                 [-0.0802,0.000102]   
--------------------------------------
N                              4499   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,499
                                                F(5, 4498)        =       4.14
                                                Prob > F          =     0.0009
                                                R-squared         =     0.0045
                                                Root MSE          =     .49911

                          (Std. err. adjusted for 4,499 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0262537   .0214138     1.23   0.220    -.0157278    .0682353
        1.female |   .0400383   .0204748     1.96   0.051    -.0001023    .0801789
                 |
treatment#female |
            1 1  |   .0035074   .0298409     0.12   0.906    -.0549954    .0620102
                 |
           round |
              2  |  -.0502336   .0188281    -2.67   0.008     -.087146   -.0133213
              3  |  -.0473179   .0180081    -2.63   0.009    -.0826227   -.0120131
                 |
           _cons |   .5086953   .0181689    28.00   0.000     .4730754    .5443152
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,499
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4752339   .0145536    32.65   0.000     .4467017    .5037662
          2  |   .5152722   .0143978    35.79   0.000     .4870456    .5434989
          3  |   .5014877    .015706    31.93   0.000     .4706962    .5322791
          4  |   .5450334    .014977    36.39   0.000     .5156712    .5743956
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0435457   .0217029    -2.01   0.045    -.0860941   -.0009972
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0435*  
                [-0.0861,-0.000997]   
--------------------------------------
N                              4499   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,499
                                                F(5, 4498)        =       4.14
                                                Prob > F          =     0.0009
                                                R-squared         =     0.0045
                                                Root MSE          =     .49911

                          (Std. err. adjusted for 4,499 clusters in respondent_id)
----------------------------------------------------------------------------------
                 |               Robust
         support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
-----------------+----------------------------------------------------------------
     1.treatment |   .0262537   .0214138     1.23   0.220    -.0157278    .0682353
        1.female |   .0400383   .0204748     1.96   0.051    -.0001023    .0801789
                 |
treatment#female |
            1 1  |   .0035074   .0298409     0.12   0.906    -.0549954    .0620102
                 |
           round |
              2  |  -.0502336   .0188281    -2.67   0.008     -.087146   -.0133213
              3  |  -.0473179   .0180081    -2.63   0.009    -.0826227   -.0120131
                 |
           _cons |   .5086953   .0181689    28.00   0.000     .4730754    .5443152
----------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,499
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       female    = 0
2._at: treatment = 0
       female    = 1
3._at: treatment = 1
       female    = 0
4._at: treatment = 1
       female    = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4752339   .0145536    32.65   0.000     .4467017    .5037662
          2  |   .5152722   .0143978    35.79   0.000     .4870456    .5434989
          3  |   .5014877    .015706    31.93   0.000     .4706962    .5322791
          4  |   .5450334    .014977    36.39   0.000     .5156712    .5743956
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0035074   .0298409    -0.12   0.906    -.0620102    .0549954
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00351   
                 (0.0298)   
----------------------------
N                    4499   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

. mat ci = ci1\ci2\ci3\ci4\ci5\ci6\ci7\ci8\cit1\cit2\cit3\cit4\cit5\cit6\cit7\cit8

. 
. mat list ci

ci[16,4]
          active:     active:     active:     active:
               b        ci_l        ci_u           p
lc_1  -.01339576  -.04254141    .0157499   .36759939
lc_1  -.08088736  -.11402329  -.04775143   1.757e-06
lc_1   .03631825  -.00371772   .07635423   .07539705
lc_1  -.03815512  -.07797328   .00166303   .06036215
lc_1   .05973269   .02041408    .0990513   .00291337
lc_1  -.07212064  -.10542521  -.03881608   .00002226
lc_1  -.09054667  -.12473083  -.05636251   2.160e-07
lc_1   -.0400383  -.08017888   .00010228   .05058635
lc_1  -.04970526  -.07916319  -.02024734   .00094705
lc_1  -.06279617  -.09617521  -.02941713   .00022839
lc_1   .07355403   .02248957    .1246185    .0047665
lc_1  -.01548048  -.05997037    .0290094   .49516722
lc_1   .12090773   .07942107   .16239439   1.178e-08
lc_1  -.09405285  -.12977551  -.05833018   2.554e-07
lc_1   -.0996535   -.1345981   -.0647089   2.391e-08
lc_1  -.04354568  -.08609412  -.00099725   .04486893

. 
. sort respondent_id topic

. 
. keep in 1/16
(38,464 observations deleted)

. 
. keep topic topic2

. 
. g treatment=0 

. replace treatment=1 in 9/16
(8 real changes made)

. 
. svmat double ci, name(temp)

. ren temp1 margin

. ren temp2 lb

. ren temp3 ub

. drop temp4

. 
. mat did = did1\did2\did3\did4\did5\did6\did7\did8

. 
. mat list did

did[8,3]
          active:     active:     active:
               b          se           p
lc_1  -.03630951    .0211394   .08593438
lc_1   .01809119    .0239978   .45096651
lc_1   .03723578   .03309132   .26055631
lc_1   .02267464   .03045499   .45659694
lc_1   .06117504   .02915648   .03594679
lc_1   -.0219322   .02492194   .37888768
lc_1  -.00910683   .02494566    .7150784
lc_1  -.00350738   .02984087   .90644038

. 
. svmat double did, name(temp)

. ren temp1 did_est

. ren temp2 did_se

. ren temp3 did_p

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. sort topic treatment

. g hline=ub+0.03 if treatment==1
(8 missing values generated)

. replace hline=hline[_n+1] if hline==.
(8 real changes made)

. 
. g temp=ub+0.03 if treatment==0
(8 missing values generated)

. replace temp=temp[_n-1] if temp==.
(8 real changes made)

. 
. replace hline=temp if topic==1 | topic==6 | topic==7 | topic==8
(8 real changes made)

. 
. drop temp 

. 
. g dropl=hline

. replace dropl=hline+0.0012 if treatment==0
(8 real changes made)

. replace dropl=hline-0.01 if treatment==1
(8 real changes made)

. 
. ** labels
. * slope coefficient
. su did_est if treatment==0 & topic==1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0363095           .  -.0363095  -.0363095

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
-.036

. g dydx_t="`margin_3f'" if treatment==0 & topic==1
(15 missing values generated)

. 
. foreach n of numlist 2/8 {
  2.         su did_est if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace dydx_t="`margin_3f'" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0180912           .   .0180912   .0180912
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0372358           .   .0372358   .0372358
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0226746           .   .0226746   .0226746
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1     .061175           .    .061175    .061175
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0219322           .  -.0219322  -.0219322
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0091068           .  -.0091068  -.0091068
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0035074           .  -.0035074  -.0035074
(1 real change made)

. 
. 
. * se
. su did_se if treatment==0 & topic== 1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0211394           .   .0211394   .0211394

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
.021

. g se_t="(`margin_3f')" if treatment==0 & topic==1
(15 missing values generated)

. 
. 
. foreach n of numlist 2/8 {
  2.         su did_se if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace se_t="(`margin_3f')" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0239978           .   .0239978   .0239978
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0330913           .   .0330913   .0330913
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1     .030455           .    .030455    .030455
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0291565           .   .0291565   .0291565
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0249219           .   .0249219   .0249219
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0249457           .   .0249457   .0249457
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0298409           .   .0298409   .0298409
(1 real change made)

. 
. replace se_t = subinstr(se_t, " ", "", .)
(8 real changes made)

. 
. g lab_t=dydx_t+" "+se_t

. 
. 
. g z=0

. g o=1

. g x=0.08

. g x2=0.14

. g y_h=hline+0.04

. g y_h2=hline+0.02

. 
. twoway ///
> (scatter margin treatment if treatment==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter margin treatment if treatment==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(sol
> id)) ///
> (rspike lb ub treatment if treatment==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike lb ub treatment if treatment==1, lcolor(gray)  lwidth(medthick)) ///
>  (line  hline treatment ,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl z,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl o,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (scatter y_h x2, ms(none) mla(dydx_t) mlabcolor(black) mlabsize(medsmall)) ///
>  (scatter y_h2 x, ms(none) mla(se_t) mlabcolor(black) mlabsize(medsmall)), ///
> by(topic, r(1) legend(off) note("") title("C: Female", size(large) position(11))) subtitle(,
>   size(medsmall)) ///
> scheme(plotplain) yline(.5) xtick(0 1) xscale(r(-0.2 1.2)) xlabel(0 "Control" 1 "Treat.", la
> bsize(medsmall)  labcolor(gray) tlength(0.5)) ylabel(-0.3(.1)0.3, labsize(medsmall) labcolor
> (gray) format(%3.1f)) xtitle("", size(medsmall) color(gray)) ytitle("", size(medsmall) color
> (gray)) xsize(8)

. 
.  graph export "figureE4c.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE4c.pdf saved as PDF format

. restore

. 
. 
. * Figure E4d: voter
. preserve

. 
. foreach n of numlist 1/8 {
  2. reg support i.treatment##i.voter i.round if topic==`n', cluster(respondent_id)
  3. margins, at(voter=(0 1) treatment=(0 1)) post
  4. xlincom 1._at-2._at, post
  5. 
. esttab, ci
  6. 
. mat ci`n'= r(coefs)
  7. 
. reg support i.treatment##i.voter i.round if topic==`n', cluster(respondent_id)
  8. margins, at(voter=(0 1) treatment=(0 1)) post
  9. xlincom 3._at-4._at, post
 10. 
. esttab, ci
 11. 
. mat cit`n'= r(coefs)
 12. 
. 
. reg support i.treatment##i.voter i.round if topic==`n', cluster(respondent_id)
 13. margins, at(voter=(0 1) treatment=(0 1)) post
 14. xlincom ((3._at-4._at)-(1._at-2._at)), post
 15. 
. esttab, se
 16. 
. mat did`n'= r(coefs)
 17. 
. }

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       1.93
                                                Prob > F          =     0.0867
                                                R-squared         =     0.0021
                                                Root MSE          =       .353

                         (Std. err. adjusted for 4,533 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324896   .0258276     1.26   0.208     -.018145    .0831242
        1.voter |   .0006998   .0197291     0.04   0.972    -.0379789    .0393786
                |
treatment#voter |
           1 1  |  -.0161238   .0282603    -0.57   0.568    -.0715278    .0392801
                |
          round |
             2  |  -.0090671   .0136479    -0.66   0.506    -.0358237    .0176894
             3  |   .0209169   .0125192     1.67   0.095    -.0036269    .0454607
                |
          _cons |    .839491   .0193229    43.45   0.000     .8016087    .8773734
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8445502   .0179837    46.96   0.000     .8092934    .8798069
          2  |     .84525   .0080957   104.41   0.000     .8293785    .8611215
          3  |   .8770398   .0185369    47.31   0.000     .8406985    .9133811
          4  |   .8616158   .0081048   106.31   0.000     .8457264    .8775052
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0006998   .0197291    -0.04   0.972    -.0393786    .0379789
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                      -0.000700   
                   [-0.0394,0.0380]   
--------------------------------------
N                              4533   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       1.93
                                                Prob > F          =     0.0867
                                                R-squared         =     0.0021
                                                Root MSE          =       .353

                         (Std. err. adjusted for 4,533 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324896   .0258276     1.26   0.208     -.018145    .0831242
        1.voter |   .0006998   .0197291     0.04   0.972    -.0379789    .0393786
                |
treatment#voter |
           1 1  |  -.0161238   .0282603    -0.57   0.568    -.0715278    .0392801
                |
          round |
             2  |  -.0090671   .0136479    -0.66   0.506    -.0358237    .0176894
             3  |   .0209169   .0125192     1.67   0.095    -.0036269    .0454607
                |
          _cons |    .839491   .0193229    43.45   0.000     .8016087    .8773734
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8445502   .0179837    46.96   0.000     .8092934    .8798069
          2  |     .84525   .0080957   104.41   0.000     .8293785    .8611215
          3  |   .8770398   .0185369    47.31   0.000     .8406985    .9133811
          4  |   .8616158   .0081048   106.31   0.000     .8457264    .8775052
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .015424    .020233     0.76   0.446    -.0242426    .0550906
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0154   
                   [-0.0242,0.0551]   
--------------------------------------
N                              4533   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,533
                                                F(5, 4532)        =       1.93
                                                Prob > F          =     0.0867
                                                R-squared         =     0.0021
                                                Root MSE          =       .353

                         (Std. err. adjusted for 4,533 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324896   .0258276     1.26   0.208     -.018145    .0831242
        1.voter |   .0006998   .0197291     0.04   0.972    -.0379789    .0393786
                |
treatment#voter |
           1 1  |  -.0161238   .0282603    -0.57   0.568    -.0715278    .0392801
                |
          round |
             2  |  -.0090671   .0136479    -0.66   0.506    -.0358237    .0176894
             3  |   .0209169   .0125192     1.67   0.095    -.0036269    .0454607
                |
          _cons |    .839491   .0193229    43.45   0.000     .8016087    .8773734
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,533
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8445502   .0179837    46.96   0.000     .8092934    .8798069
          2  |     .84525   .0080957   104.41   0.000     .8293785    .8611215
          3  |   .8770398   .0185369    47.31   0.000     .8406985    .9133811
          4  |   .8616158   .0081048   106.31   0.000     .8457264    .8775052
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0161238   .0282603     0.57   0.568    -.0392801    .0715278
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0161   
                 (0.0283)   
----------------------------
N                    4533   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,660
                                                F(5, 4659)        =       2.32
                                                Prob > F          =     0.0411
                                                R-squared         =     0.0024
                                                Root MSE          =     .40608

                         (Std. err. adjusted for 4,660 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0116489   .0273419     0.43   0.670    -.0419542    .0652519
        1.voter |   -.043892   .0212523    -2.07   0.039    -.0855567   -.0022274
                |
treatment#voter |
           1 1  |   .0061714   .0303584     0.20   0.839    -.0533454    .0656881
                |
          round |
             2  |  -.0082971   .0152108    -0.55   0.585    -.0381175    .0215234
             3  |   .0142493   .0143161     1.00   0.320    -.0138171    .0423157
                |
          _cons |   .8171569   .0207658    39.35   0.000     .7764462    .8578677
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,660
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8198749   .0190865    42.96   0.000     .7824563    .8572935
          2  |   .7759829    .009339    83.09   0.000      .757674    .7942918
          3  |   .8315238   .0195804    42.47   0.000     .7931369    .8699107
          4  |   .7938032   .0093038    85.32   0.000     .7755633     .812043
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .043892   .0212523     2.07   0.039     .0022274    .0855567
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0439*  
                   [0.00223,0.0856]   
--------------------------------------
N                              4660   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,660
                                                F(5, 4659)        =       2.32
                                                Prob > F          =     0.0411
                                                R-squared         =     0.0024
                                                Root MSE          =     .40608

                         (Std. err. adjusted for 4,660 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0116489   .0273419     0.43   0.670    -.0419542    .0652519
        1.voter |   -.043892   .0212523    -2.07   0.039    -.0855567   -.0022274
                |
treatment#voter |
           1 1  |   .0061714   .0303584     0.20   0.839    -.0533454    .0656881
                |
          round |
             2  |  -.0082971   .0152108    -0.55   0.585    -.0381175    .0215234
             3  |   .0142493   .0143161     1.00   0.320    -.0138171    .0423157
                |
          _cons |   .8171569   .0207658    39.35   0.000     .7764462    .8578677
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,660
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8198749   .0190865    42.96   0.000     .7824563    .8572935
          2  |   .7759829    .009339    83.09   0.000      .757674    .7942918
          3  |   .8315238   .0195804    42.47   0.000     .7931369    .8699107
          4  |   .7938032   .0093038    85.32   0.000     .7755633     .812043
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0377206   .0216819     1.74   0.082    -.0047862    .0802275
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0377   
                  [-0.00479,0.0802]   
--------------------------------------
N                              4660   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,660
                                                F(5, 4659)        =       2.32
                                                Prob > F          =     0.0411
                                                R-squared         =     0.0024
                                                Root MSE          =     .40608

                         (Std. err. adjusted for 4,660 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0116489   .0273419     0.43   0.670    -.0419542    .0652519
        1.voter |   -.043892   .0212523    -2.07   0.039    -.0855567   -.0022274
                |
treatment#voter |
           1 1  |   .0061714   .0303584     0.20   0.839    -.0533454    .0656881
                |
          round |
             2  |  -.0082971   .0152108    -0.55   0.585    -.0381175    .0215234
             3  |   .0142493   .0143161     1.00   0.320    -.0138171    .0423157
                |
          _cons |   .8171569   .0207658    39.35   0.000     .7764462    .8578677
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,660
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .8198749   .0190865    42.96   0.000     .7824563    .8572935
          2  |   .7759829    .009339    83.09   0.000      .757674    .7942918
          3  |   .8315238   .0195804    42.47   0.000     .7931369    .8699107
          4  |   .7938032   .0093038    85.32   0.000     .7755633     .812043
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0061714   .0303584    -0.20   0.839    -.0656881    .0533454
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00617   
                 (0.0304)   
----------------------------
N                    4660   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,877
                                                F(5, 3876)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0043
                                                Root MSE          =     .49697

                         (Std. err. adjusted for 3,877 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0030396   .0431425    -0.07   0.944    -.0876238    .0815446
        1.voter |   .0846489   .0272429     3.11   0.002     .0312372    .1380607
                |
treatment#voter |
           1 1  |  -.0047563   .0466798    -0.10   0.919    -.0962756     .086763
                |
          round |
             2  |  -.0213329   .0201669    -1.06   0.290    -.0608717    .0182059
             3  |  -.0307215     .01929    -1.59   0.111     -.068541     .007098
                |
          _cons |   .4978629   .0272968    18.24   0.000     .4443455    .5513803
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,877
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4796896   .0248688    19.29   0.000     .4309324    .5284467
          2  |   .5643385   .0111138    50.78   0.000      .542549     .586128
          3  |     .47665   .0352501    13.52   0.000     .4075395    .5457604
          4  |   .5565426   .0138998    40.04   0.000      .529291    .5837942
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0846489   .0272429    -3.11   0.002    -.1380607   -.0312372
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0846** 
                   [-0.138,-0.0312]   
--------------------------------------
N                              3877   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,877
                                                F(5, 3876)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0043
                                                Root MSE          =     .49697

                         (Std. err. adjusted for 3,877 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0030396   .0431425    -0.07   0.944    -.0876238    .0815446
        1.voter |   .0846489   .0272429     3.11   0.002     .0312372    .1380607
                |
treatment#voter |
           1 1  |  -.0047563   .0466798    -0.10   0.919    -.0962756     .086763
                |
          round |
             2  |  -.0213329   .0201669    -1.06   0.290    -.0608717    .0182059
             3  |  -.0307215     .01929    -1.59   0.111     -.068541     .007098
                |
          _cons |   .4978629   .0272968    18.24   0.000     .4443455    .5513803
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,877
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4796896   .0248688    19.29   0.000     .4309324    .5284467
          2  |   .5643385   .0111138    50.78   0.000      .542549     .586128
          3  |     .47665   .0352501    13.52   0.000     .4075395    .5457604
          4  |   .5565426   .0138998    40.04   0.000      .529291    .5837942
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0798927   .0378952    -2.11   0.035     -.154189   -.0055963
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0799*  
                  [-0.154,-0.00560]   
--------------------------------------
N                              3877   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      3,877
                                                F(5, 3876)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0043
                                                Root MSE          =     .49697

                         (Std. err. adjusted for 3,877 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0030396   .0431425    -0.07   0.944    -.0876238    .0815446
        1.voter |   .0846489   .0272429     3.11   0.002     .0312372    .1380607
                |
treatment#voter |
           1 1  |  -.0047563   .0466798    -0.10   0.919    -.0962756     .086763
                |
          round |
             2  |  -.0213329   .0201669    -1.06   0.290    -.0608717    .0182059
             3  |  -.0307215     .01929    -1.59   0.111     -.068541     .007098
                |
          _cons |   .4978629   .0272968    18.24   0.000     .4443455    .5513803
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 3,877
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .4796896   .0248688    19.29   0.000     .4309324    .5284467
          2  |   .5643385   .0111138    50.78   0.000      .542549     .586128
          3  |     .47665   .0352501    13.52   0.000     .4075395    .5457604
          4  |   .5565426   .0138998    40.04   0.000      .529291    .5837942
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0047563   .0466798     0.10   0.919     -.086763    .0962756
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              0.00476   
                 (0.0467)   
----------------------------
N                    3877   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,331
                                                F(5, 4330)        =       1.19
                                                Prob > F          =     0.3115
                                                R-squared         =     0.0014
                                                Root MSE          =     .49585

                         (Std. err. adjusted for 4,331 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0185764    .038129    -0.49   0.626    -.0933289     .056176
        1.voter |   .0258657   .0271075     0.95   0.340    -.0272788    .0790103
                |
treatment#voter |
           1 1  |   .0004132   .0415638     0.01   0.992    -.0810731    .0818995
                |
          round |
             2  |  -.0296797   .0191231    -1.55   0.121    -.0671708    .0078115
             3  |  -.0269156   .0182101    -1.48   0.139    -.0626167    .0087854
                |
          _cons |   .5702009   .0269776    21.14   0.000      .517311    .6230908
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,331
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507552   .0247399    22.26   0.000     .5022523    .5992581
          2  |   .5766209    .011076    52.06   0.000     .5549062    .5983356
          3  |   .5321787   .0290136    18.34   0.000     .4752973    .5890602
          4  |   .5584577   .0122726    45.50   0.000     .5343971    .5825182
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0258657   .0271075    -0.95   0.340    -.0790103    .0272788
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0259   
                   [-0.0790,0.0273]   
--------------------------------------
N                              4331   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,331
                                                F(5, 4330)        =       1.19
                                                Prob > F          =     0.3115
                                                R-squared         =     0.0014
                                                Root MSE          =     .49585

                         (Std. err. adjusted for 4,331 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0185764    .038129    -0.49   0.626    -.0933289     .056176
        1.voter |   .0258657   .0271075     0.95   0.340    -.0272788    .0790103
                |
treatment#voter |
           1 1  |   .0004132   .0415638     0.01   0.992    -.0810731    .0818995
                |
          round |
             2  |  -.0296797   .0191231    -1.55   0.121    -.0671708    .0078115
             3  |  -.0269156   .0182101    -1.48   0.139    -.0626167    .0087854
                |
          _cons |   .5702009   .0269776    21.14   0.000      .517311    .6230908
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,331
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507552   .0247399    22.26   0.000     .5022523    .5992581
          2  |   .5766209    .011076    52.06   0.000     .5549062    .5983356
          3  |   .5321787   .0290136    18.34   0.000     .4752973    .5890602
          4  |   .5584577   .0122726    45.50   0.000     .5343971    .5825182
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0262789   .0315043    -0.83   0.404    -.0880436    .0354857
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0263   
                   [-0.0880,0.0355]   
--------------------------------------
N                              4331   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,331
                                                F(5, 4330)        =       1.19
                                                Prob > F          =     0.3115
                                                R-squared         =     0.0014
                                                Root MSE          =     .49585

                         (Std. err. adjusted for 4,331 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |  -.0185764    .038129    -0.49   0.626    -.0933289     .056176
        1.voter |   .0258657   .0271075     0.95   0.340    -.0272788    .0790103
                |
treatment#voter |
           1 1  |   .0004132   .0415638     0.01   0.992    -.0810731    .0818995
                |
          round |
             2  |  -.0296797   .0191231    -1.55   0.121    -.0671708    .0078115
             3  |  -.0269156   .0182101    -1.48   0.139    -.0626167    .0087854
                |
          _cons |   .5702009   .0269776    21.14   0.000      .517311    .6230908
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,331
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .5507552   .0247399    22.26   0.000     .5022523    .5992581
          2  |   .5766209    .011076    52.06   0.000     .5549062    .5983356
          3  |   .5321787   .0290136    18.34   0.000     .4752973    .5890602
          4  |   .5584577   .0122726    45.50   0.000     .5343971    .5825182
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0004132   .0415638    -0.01   0.992    -.0818995    .0810731
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1            -0.000413   
                 (0.0416)   
----------------------------
N                    4331   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,506
                                                F(5, 4505)        =       2.11
                                                Prob > F          =     0.0610
                                                R-squared         =     0.0022
                                                Root MSE          =      .4893

                         (Std. err. adjusted for 4,506 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0507425   .0354302     1.43   0.152     -.018718     .120203
        1.voter |  -.0329114    .026449    -1.24   0.213    -.0847645    .0189417
                |
treatment#voter |
           1 1  |  -.0495744   .0388842    -1.27   0.202    -.1258064    .0266577
                |
          round |
             2  |  -.0087858   .0184457    -0.48   0.634    -.0449485    .0273768
             3  |  -.0026802     .01766    -0.15   0.879    -.0373026    .0319421
                |
          _cons |   .6290928   .0261533    24.05   0.000     .5778194    .6803661
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,506
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6253326    .024046    26.01   0.000     .5781906    .6724746
          2  |   .5924213   .0110145    53.79   0.000     .5708274    .6140151
          3  |   .6760751   .0260227    25.98   0.000     .6250578    .7270924
          4  |   .5935894   .0116378    51.01   0.000     .5707736    .6164052
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0329114    .026449     1.24   0.213    -.0189417    .0847645
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0329   
                   [-0.0189,0.0848]   
--------------------------------------
N                              4506   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,506
                                                F(5, 4505)        =       2.11
                                                Prob > F          =     0.0610
                                                R-squared         =     0.0022
                                                Root MSE          =      .4893

                         (Std. err. adjusted for 4,506 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0507425   .0354302     1.43   0.152     -.018718     .120203
        1.voter |  -.0329114    .026449    -1.24   0.213    -.0847645    .0189417
                |
treatment#voter |
           1 1  |  -.0495744   .0388842    -1.27   0.202    -.1258064    .0266577
                |
          round |
             2  |  -.0087858   .0184457    -0.48   0.634    -.0449485    .0273768
             3  |  -.0026802     .01766    -0.15   0.879    -.0373026    .0319421
                |
          _cons |   .6290928   .0261533    24.05   0.000     .5778194    .6803661
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,506
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6253326    .024046    26.01   0.000     .5781906    .6724746
          2  |   .5924213   .0110145    53.79   0.000     .5708274    .6140151
          3  |   .6760751   .0260227    25.98   0.000     .6250578    .7270924
          4  |   .5935894   .0116378    51.01   0.000     .5707736    .6164052
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0824857   .0285077     2.89   0.004     .0265967    .1383747
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         0.0825** 
                     [0.0266,0.138]   
--------------------------------------
N                              4506   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,506
                                                F(5, 4505)        =       2.11
                                                Prob > F          =     0.0610
                                                R-squared         =     0.0022
                                                Root MSE          =      .4893

                         (Std. err. adjusted for 4,506 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0507425   .0354302     1.43   0.152     -.018718     .120203
        1.voter |  -.0329114    .026449    -1.24   0.213    -.0847645    .0189417
                |
treatment#voter |
           1 1  |  -.0495744   .0388842    -1.27   0.202    -.1258064    .0266577
                |
          round |
             2  |  -.0087858   .0184457    -0.48   0.634    -.0449485    .0273768
             3  |  -.0026802     .01766    -0.15   0.879    -.0373026    .0319421
                |
          _cons |   .6290928   .0261533    24.05   0.000     .5778194    .6803661
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,506
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .6253326    .024046    26.01   0.000     .5781906    .6724746
          2  |   .5924213   .0110145    53.79   0.000     .5708274    .6140151
          3  |   .6760751   .0260227    25.98   0.000     .6250578    .7270924
          4  |   .5935894   .0116378    51.01   0.000     .5707736    .6164052
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0495744   .0388842     1.27   0.202    -.0266577    .1258064
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0496   
                 (0.0389)   
----------------------------
N                    4506   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0041
                                                Root MSE          =     .41081

                         (Std. err. adjusted for 4,472 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0302294   .0324777     0.93   0.352     -.033443    .0939017
        1.voter |   .0541189   .0236758     2.29   0.022     .0077025    .1005352
                |
treatment#voter |
           1 1  |   -.025754   .0350867    -0.73   0.463    -.0945413    .0430332
                |
          round |
             2  |   .0327532   .0158341     2.07   0.039     .0017106    .0637958
             3  |   .0466776   .0149908     3.11   0.002     .0172882    .0760669
                |
          _cons |   .7072031   .0239116    29.58   0.000     .6603246    .7540816
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .734899    .021836    33.66   0.000     .6920896    .7777084
          2  |   .7890179   .0091399    86.33   0.000     .7710992    .8069366
          3  |   .7651284   .0240339    31.84   0.000     .7180101    .8122466
          4  |   .7934932   .0096419    82.30   0.000     .7745903    .8123961
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0541189   .0236758    -2.29   0.022    -.1005352   -.0077025
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0541*  
                  [-0.101,-0.00770]   
--------------------------------------
N                              4472   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0041
                                                Root MSE          =     .41081

                         (Std. err. adjusted for 4,472 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0302294   .0324777     0.93   0.352     -.033443    .0939017
        1.voter |   .0541189   .0236758     2.29   0.022     .0077025    .1005352
                |
treatment#voter |
           1 1  |   -.025754   .0350867    -0.73   0.463    -.0945413    .0430332
                |
          round |
             2  |   .0327532   .0158341     2.07   0.039     .0017106    .0637958
             3  |   .0466776   .0149908     3.11   0.002     .0172882    .0760669
                |
          _cons |   .7072031   .0239116    29.58   0.000     .6603246    .7540816
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .734899    .021836    33.66   0.000     .6920896    .7777084
          2  |   .7890179   .0091399    86.33   0.000     .7710992    .8069366
          3  |   .7651284   .0240339    31.84   0.000     .7180101    .8122466
          4  |   .7934932   .0096419    82.30   0.000     .7745903    .8123961
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0283648   .0258943    -1.10   0.273    -.0791304    .0224007
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0284   
                   [-0.0791,0.0224]   
--------------------------------------
N                              4472   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,472
                                                F(5, 4471)        =       3.31
                                                Prob > F          =     0.0055
                                                R-squared         =     0.0041
                                                Root MSE          =     .41081

                         (Std. err. adjusted for 4,472 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0302294   .0324777     0.93   0.352     -.033443    .0939017
        1.voter |   .0541189   .0236758     2.29   0.022     .0077025    .1005352
                |
treatment#voter |
           1 1  |   -.025754   .0350867    -0.73   0.463    -.0945413    .0430332
                |
          round |
             2  |   .0327532   .0158341     2.07   0.039     .0017106    .0637958
             3  |   .0466776   .0149908     3.11   0.002     .0172882    .0760669
                |
          _cons |   .7072031   .0239116    29.58   0.000     .6603246    .7540816
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,472
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |    .734899    .021836    33.66   0.000     .6920896    .7777084
          2  |   .7890179   .0091399    86.33   0.000     .7710992    .8069366
          3  |   .7651284   .0240339    31.84   0.000     .7180101    .8122466
          4  |   .7934932   .0096419    82.30   0.000     .7745903    .8123961
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |    .025754   .0350867     0.73   0.463    -.0430332    .0945413
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1               0.0258   
                 (0.0351)   
----------------------------
N                    4472   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,646
                                                F(5, 4645)        =       0.42
                                                Prob > F          =     0.8374
                                                R-squared         =     0.0004
                                                Root MSE          =     .42107

                         (Std. err. adjusted for 4,646 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0104156   .0313866     0.33   0.740    -.0511171    .0719483
        1.voter |   .0045068   .0233104     0.19   0.847    -.0411927    .0502063
                |
treatment#voter |
           1 1  |   .0056753    .034156     0.17   0.868    -.0612867    .0726372
                |
          round |
             2  |   .0038601   .0155781     0.25   0.804    -.0266803    .0344006
             3  |  -.0048132   .0149961    -0.32   0.748    -.0342126    .0245863
                |
          _cons |   .7593506   .0229778    33.05   0.000     .7143033     .804398
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,646
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7587499   .0212703    35.67   0.000     .7170501    .8004497
          2  |   .7632567   .0095257    80.13   0.000     .7445818    .7819315
          3  |   .7691655   .0230656    33.35   0.000     .7239459    .8143851
          4  |   .7793476   .0094909    82.12   0.000     .7607409    .7979542
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0045068   .0233104    -0.19   0.847    -.0502063    .0411927
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                       -0.00451   
                   [-0.0502,0.0412]   
--------------------------------------
N                              4646   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,646
                                                F(5, 4645)        =       0.42
                                                Prob > F          =     0.8374
                                                R-squared         =     0.0004
                                                Root MSE          =     .42107

                         (Std. err. adjusted for 4,646 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0104156   .0313866     0.33   0.740    -.0511171    .0719483
        1.voter |   .0045068   .0233104     0.19   0.847    -.0411927    .0502063
                |
treatment#voter |
           1 1  |   .0056753    .034156     0.17   0.868    -.0612867    .0726372
                |
          round |
             2  |   .0038601   .0155781     0.25   0.804    -.0266803    .0344006
             3  |  -.0048132   .0149961    -0.32   0.748    -.0342126    .0245863
                |
          _cons |   .7593506   .0229778    33.05   0.000     .7143033     .804398
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,646
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7587499   .0212703    35.67   0.000     .7170501    .8004497
          2  |   .7632567   .0095257    80.13   0.000     .7445818    .7819315
          3  |   .7691655   .0230656    33.35   0.000     .7239459    .8143851
          4  |   .7793476   .0094909    82.12   0.000     .7607409    .7979542
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0101821   .0249454    -0.41   0.683    -.0590869    .0387227
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                        -0.0102   
                   [-0.0591,0.0387]   
--------------------------------------
N                              4646   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,646
                                                F(5, 4645)        =       0.42
                                                Prob > F          =     0.8374
                                                R-squared         =     0.0004
                                                Root MSE          =     .42107

                         (Std. err. adjusted for 4,646 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0104156   .0313866     0.33   0.740    -.0511171    .0719483
        1.voter |   .0045068   .0233104     0.19   0.847    -.0411927    .0502063
                |
treatment#voter |
           1 1  |   .0056753    .034156     0.17   0.868    -.0612867    .0726372
                |
          round |
             2  |   .0038601   .0155781     0.25   0.804    -.0266803    .0344006
             3  |  -.0048132   .0149961    -0.32   0.748    -.0342126    .0245863
                |
          _cons |   .7593506   .0229778    33.05   0.000     .7143033     .804398
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,646
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .7587499   .0212703    35.67   0.000     .7170501    .8004497
          2  |   .7632567   .0095257    80.13   0.000     .7445818    .7819315
          3  |   .7691655   .0230656    33.35   0.000     .7239459    .8143851
          4  |   .7793476   .0094909    82.12   0.000     .7607409    .7979542
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.0056753    .034156    -0.17   0.868    -.0726372    .0612867
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1             -0.00568   
                 (0.0342)   
----------------------------
N                    4646   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.55
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0113
                                                Root MSE          =     .49737

                         (Std. err. adjusted for 4,540 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324745   .0365609     0.89   0.374    -.0392026    .1041516
        1.voter |   .1253283   .0268054     4.68   0.000     .0727767      .17788
                |
treatment#voter |
           1 1  |  -.0036869   .0399875    -0.09   0.927    -.0820819     .074708
                |
          round |
             2  |  -.0516338   .0187107    -2.76   0.006    -.0883158   -.0149518
             3  |  -.0490468   .0178254    -2.75   0.006    -.0839933   -.0141002
                |
          _cons |     .42707    .026464    16.14   0.000     .3751876    .4789524
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .3925251   .0243613    16.11   0.000     .3447651    .4402851
          2  |   .5178534    .011175    46.34   0.000     .4959451    .5397618
          3  |   .4249996   .0272488    15.60   0.000     .3715788    .4784204
          4  |    .546641   .0116947    46.74   0.000     .5237137    .5695683
------------------------------------------------------------------------------

        lc_1:  1._at-2._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.1253283   .0268054    -4.68   0.000      -.17788   -.0727767
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         -0.125***
                   [-0.178,-0.0728]   
--------------------------------------
N                              4540   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.55
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0113
                                                Root MSE          =     .49737

                         (Std. err. adjusted for 4,540 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324745   .0365609     0.89   0.374    -.0392026    .1041516
        1.voter |   .1253283   .0268054     4.68   0.000     .0727767      .17788
                |
treatment#voter |
           1 1  |  -.0036869   .0399875    -0.09   0.927    -.0820819     .074708
                |
          round |
             2  |  -.0516338   .0187107    -2.76   0.006    -.0883158   -.0149518
             3  |  -.0490468   .0178254    -2.75   0.006    -.0839933   -.0141002
                |
          _cons |     .42707    .026464    16.14   0.000     .3751876    .4789524
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .3925251   .0243613    16.11   0.000     .3447651    .4402851
          2  |   .5178534    .011175    46.34   0.000     .4959451    .5397618
          3  |   .4249996   .0272488    15.60   0.000     .3715788    .4784204
          4  |    .546641   .0116947    46.74   0.000     .5237137    .5695683
------------------------------------------------------------------------------

        lc_1:  3._at-4._at = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |  -.1216414   .0296543    -4.10   0.000    -.1797783   -.0635045
------------------------------------------------------------------------------

--------------------------------------
                                (1)   
                                  .   
--------------------------------------
lc_1                         -0.122***
                   [-0.180,-0.0635]   
--------------------------------------
N                              4540   
--------------------------------------
95% confidence intervals in brackets
* p<0.05, ** p<0.01, *** p<0.001

Linear regression                               Number of obs     =      4,540
                                                F(5, 4539)        =      10.55
                                                Prob > F          =     0.0000
                                                R-squared         =     0.0113
                                                Root MSE          =     .49737

                         (Std. err. adjusted for 4,540 clusters in respondent_id)
---------------------------------------------------------------------------------
                |               Robust
        support | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
----------------+----------------------------------------------------------------
    1.treatment |   .0324745   .0365609     0.89   0.374    -.0392026    .1041516
        1.voter |   .1253283   .0268054     4.68   0.000     .0727767      .17788
                |
treatment#voter |
           1 1  |  -.0036869   .0399875    -0.09   0.927    -.0820819     .074708
                |
          round |
             2  |  -.0516338   .0187107    -2.76   0.006    -.0883158   -.0149518
             3  |  -.0490468   .0178254    -2.75   0.006    -.0839933   -.0141002
                |
          _cons |     .42707    .026464    16.14   0.000     .3751876    .4789524
---------------------------------------------------------------------------------

Predictive margins                                       Number of obs = 4,540
Model VCE: Robust

Expression: Linear prediction, predict()
1._at: treatment = 0
       voter     = 0
2._at: treatment = 0
       voter     = 1
3._at: treatment = 1
       voter     = 0
4._at: treatment = 1
       voter     = 1

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   .3925251   .0243613    16.11   0.000     .3447651    .4402851
          2  |   .5178534    .011175    46.34   0.000     .4959451    .5397618
          3  |   .4249996   .0272488    15.60   0.000     .3715788    .4784204
          4  |    .546641   .0116947    46.74   0.000     .5237137    .5695683
------------------------------------------------------------------------------

        lc_1:  (3._at-4._at)-(1._at-2._at) = 0

------------------------------------------------------------------------------
             | Coefficient  Std. err.      t    P>|t|     [95% conf. interval]
-------------+----------------------------------------------------------------
        lc_1 |   .0036869   .0399875     0.09   0.927     -.074708    .0820819
------------------------------------------------------------------------------

----------------------------
                      (1)   
                        .   
----------------------------
lc_1              0.00369   
                 (0.0400)   
----------------------------
N                    4540   
----------------------------
Standard errors in parentheses
* p<0.05, ** p<0.01, *** p<0.001

. mat ci = ci1\ci2\ci3\ci4\ci5\ci6\ci7\ci8\cit1\cit2\cit3\cit4\cit5\cit6\cit7\cit8

. 
. mat list ci

ci[16,4]
          active:     active:     active:     active:
               b        ci_l        ci_u           p
lc_1  -.00069984  -.03937858    .0379789   .97170479
lc_1   .04389202   .00222737   .08555666    .0389518
lc_1  -.08464894  -.13806067  -.03123722   .00190238
lc_1  -.02586574  -.07901028    .0272788    .3400397
lc_1   .03291136  -.01894175   .08476447    .2134426
lc_1  -.05411888  -.10053523  -.00770253   .02231092
lc_1  -.00450679   -.0502063   .04119271   .84670265
lc_1  -.12532832  -.17787997  -.07277668   3.018e-06
lc_1   .01542401  -.02424257   .05509059   .44590945
lc_1   .03772064  -.00478618   .08022746   .08197284
lc_1  -.07989266    -.154189  -.00559631   .03507296
lc_1  -.02627892  -.08804357   .03548572   .40425008
lc_1   .08248572    .0265967   .13837474   .00382854
lc_1  -.02836484   -.0791304   .02240073   .27339597
lc_1  -.01018208   -.0590869   .03872274   .68316425
lc_1  -.12164141  -.17977833  -.06350449   .00004168

. 
. sort respondent_id topic

. 
. keep in 1/16
(38,464 observations deleted)

. 
. keep topic topic2

. 
. g treatment=0 

. replace treatment=1 in 9/16
(8 real changes made)

. 
. svmat double ci, name(temp)

. ren temp1 margin

. ren temp2 lb

. ren temp3 ub

. drop temp4

. 
. mat did = did1\did2\did3\did4\did5\did6\did7\did8

. 
. mat list did

did[8,3]
          active:     active:     active:
               b          se           p
lc_1   .01612385   .02826031   .56833483
lc_1  -.00617138   .03035837   .83892176
lc_1   .00475629   .04667979   .91884784
lc_1  -.00041318   .04156379   .99206889
lc_1   .04957436   .03888418   .20240204
lc_1   .02575404   .03508667   .46297992
lc_1  -.00567528   .03415599   .86803999
lc_1   .00368691   .03998749   .92654186

. 
. svmat double did, name(temp)

. ren temp1 did_est

. ren temp2 did_se

. ren temp3 did_p

. 
. label define topiclab_alt2 1 "Infrastructure" 2 "Min wage" 3 "Estate tax" 4 "CG tax" 5 "Bord
> er sec" 6 "Transgender" 7 "Abortion" 8 "Covid"

. label values topic topiclab_alt2

. 
. sort topic treatment

. g hline=ub+0.03 if treatment==1
(8 missing values generated)

. replace hline=hline[_n+1] if hline==.
(8 real changes made)

. 
. g temp=ub+0.03 if treatment==0
(8 missing values generated)

. replace temp=temp[_n-1] if temp==.
(8 real changes made)

. 
. replace hline=temp if topic==2 | topic==4 | topic==7
(6 real changes made)

. 
. drop temp 

. 
. g dropl=hline

. replace dropl=hline+0.0012 if treatment==0
(8 real changes made)

. replace dropl=hline-0.01 if treatment==1
(8 real changes made)

. 
. ** labels
. * slope coefficient
. su did_est if treatment==0 & topic==1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0161238           .   .0161238   .0161238

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
.016

. g dydx_t="`margin_3f'" if treatment==0 & topic==1
(15 missing values generated)

. 
. foreach n of numlist 2/8 {
  2.         su did_est if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace dydx_t="`margin_3f'" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0061714           .  -.0061714  -.0061714
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0047563           .   .0047563   .0047563
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0004132           .  -.0004132  -.0004132
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0495744           .   .0495744   .0495744
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1     .025754           .    .025754    .025754
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1   -.0056753           .  -.0056753  -.0056753
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
     did_est |          1    .0036869           .   .0036869   .0036869
(1 real change made)

. 
. 
. * se
. su did_se if treatment==0 & topic== 1

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0282603           .   .0282603   .0282603

. local margin_3f : di %9.3f r(mean)

. di `margin_3f'
.028

. g se_t="(`margin_3f')" if treatment==0 & topic==1
(15 missing values generated)

. 
. 
. foreach n of numlist 2/8 {
  2.         su did_se if treatment==0 & topic== `n'
  3.         local margin_3f : di %9.3f r(mean)
  4.         replace se_t="(`margin_3f')" if treatment==0 & topic== `n'
  5. }

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0303584           .   .0303584   .0303584
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0466798           .   .0466798   .0466798
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0415638           .   .0415638   .0415638
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0388842           .   .0388842   .0388842
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0350867           .   .0350867   .0350867
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1     .034156           .    .034156    .034156
(1 real change made)

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
      did_se |          1    .0399875           .   .0399875   .0399875
(1 real change made)

. 
. replace se_t = subinstr(se_t, " ", "", .)
(8 real changes made)

. 
. g lab_t=dydx_t+" "+se_t

. 
. replace dydx_t=dydx_t+"*" if did_p<0.05
(0 real changes made)

. replace dydx_t=dydx_t+"+" if did_p<0.1 & did_p>0.05
(0 real changes made)

. 
. g z=0

. g o=1

. g x=0.08

. g x2=0.14

. g y_h=hline+0.04

. g y_h2=hline+0.02

. 
. twoway ///
> (scatter margin treatment if treatment==0, msymbol(O) mcolor(black) lcolor(black)) ///
> (scatter margin treatment if treatment==1, msymbol(O) mcolor(gray) lcolor(gray) lpattern(sol
> id)) ///
> (rspike lb ub treatment if treatment==0,  lcolor(black)  lwidth(medthick)) ///
> (rspike lb ub treatment if treatment==1, lcolor(gray)  lwidth(medthick)) ///
>  (line  hline treatment ,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl z,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (line  dropl o,  lw(medthick)  mc(none) lc(black) lp(solid)) ///
>  (scatter y_h x2, ms(none) mla(dydx_t) mlabcolor(black) mlabsize(medsmall)) ///
>  (scatter y_h2 x, ms(none) mla(se_t) mlabcolor(black) mlabsize(medsmall)), ///
> by(topic, r(1) legend(off) note("") title("D: Voter", size(large) position(11))) subtitle(, 
>  size(medsmall)) ///
> scheme(plotplain) yline(.5) xtick(0 1) xscale(r(-0.2 1.2)) xlabel(0 "Control" 1 "Treat.", la
> bsize(medsmall)  labcolor(gray) tlength(0.5)) ylabel(-0.3(.1)0.3, labsize(medsmall) labcolor
> (gray) format(%3.1f)) xtitle("", size(medsmall) color(gray)) ytitle("", size(medsmall) color
> (gray)) xsize(8)

. 
. graph export "figureE4d.pdf",  replace
file /Users/qsg999/Desktop/PSRM_replication_material/temp/figureE4d.pdf saved as PDF format

. restore

. 
. log close
      name:  <unnamed>
       log:  /Users/qsg999/Desktop/PSRM_replication_material/Appendix_BDE_log.log
  log type:  text
 closed on:  18 Jun 2024, 09:07:02
----------------------------------------------------------------------------------------------
